Solve by factoring: x 2 – 10x = -16?

First you will move -16 to the other way.
so, you will get the function x^2 -10x +16=0
then factor the function
(x-8)(x-2)=0
then solve the function
(x-8)=0 or (x-2)=0
x= 8 and x=2
The function have two solutions x=8 and x=2

Finally check if your answer is right.
first check x=8
8^2-10(8)+16= 0
0=0 therefore x=8 is the right answer.
Then check x=2
2^2-10(2)+16=0
0=0 therefore x=2 is the right answer too.

x^2 - 10x = -16
add 16 to each side
x^2 - 10x + 16 = 0
then find 2 numbers that multiply to give 16 and add to give -10. -8 and -2 work as -8x-2=16 and -8 + -2 = -10
so
x^2 - 8x - 2x + 16 = 0
(x-8)(x-2)=0
Hope this helps you!

x² - 10x + 16 = 0
(x - 8)(x - 2) = 0
x = 2 , x = 8

x^2 - 10x = -16

Add +16 to each side of the equation.

x^2 - 10x + 16 = -16 + 16

x^2 - 10x + 16 = 0

Factor a trinomial

(1x -2) (1x - 8)

Multiply using the FOIL Method.

1x x 1x = 1x^2

1x x -8 = -8x

-2 x`1x = -2x

-2 x -8 = 16

1x^2 - 8x - 2x + 16

= 1x^2 - 10x +16 = 0 (same as x^2 - 10x + 16)

Subproblem 1

1x - 2 = 0

Add +2 to each side of the equation.

1x - 2 + 2 = 0 + 2

1x = 2

Divide each side by 1

1x/1 = 2/1

x = 2

Subproblem 2

1x - 8 = 0

Add +8 to each side of the equation.

1x - 8 + 8 = 0 + 8

1x = 8

Divide each side by 1.

1x/1 = 8/1

x = 8

Solution (Answer);

x = 2, 8

x^2 - 10x = -16
x^2 - 10x + 16 = 0
x^2 - 2x - 8x + 16 = 0
(x^2 - 2x) - (8x - 16) = 0
x(x - 2) - 8(x - 2) = 0
(x - 2)(x - 8) = 0

x - 2 = 0
x = 2

x - 8 = 0
x = 8

∴ x = 2 , 8

x^2-10x=-16
x^2-8x-2x+16=0
x(x-8)-2(x-8)=0
(x-8)(x-2)=0
So x=8 and x=2

x² - 10x = 16-----first add 16 to the other side
x² - 10x + 16-----now by using the factors of 16 figure which two will multiply to make 16 and add to make 10.
(x - 8)(x - 2)


I can give you a hint on whether the answers will be positive or negative.
****If the second sign (between 10x + 16) is positive then the answer will be the sign between x² - 10x.
****If the second sign is negative then both signs will be different.

x^2 - 10x + 16 = 0
(x^2 -10x + 25) - 9 = 0
(x - 5) ^2 - 3^2 = 0
(x - 5 + 3)(x - 5 - 3) = 0
(x - 2)(x - 8) = 0
x = 2 or x = 8

x^2-10x=-16
x^2-2x-8x+16=0
x(x-2)-8(x-2)=0
(x-2)(x-8)=0
So x=2 and x=8
I hope you understand this, and good luck!

use ^ for exponation so x^2 - 10x + 16 = 0

(x-8)(x-2)