Find all the solutions of 4x² - 8x = -2?

4x² - 8x = -2
4x² - 8x + 2 = 0
2x² - 4x + 1 = 0

Solving quadratic equation,
x = (-(-4) ± √(4² - 4 * 2 * 1)) / (2 * 2)
=(4 ± √(16 - 8)) / 4
=(4 ± √8) / 4
=1 ± ½√2

x = 1 + ½√2 or x = 1 - ½√2

x = 1 + sqrt(2) / 2
x = 1 - sqrt(2) / 2

4x^2 - 8x + 2 = 0

Quadratic equation gives us:

[8 +/- sqrt(64 - 32)]/8

= [8 +/- sqrt(32)]/8

sqrt(32) can be simplified to 4sqrt(2)

so, fully simplified your answers are [2 + sqrt(2)]/2 and [2 - sqrt(2)/2]

4x^2-8x+2=0
x's=[4+&-(16-8)^1/2]/4=1+\/'''2'''/2& 1-\/'''2''/2
God bless you.'