solve by splitting the term 4x^2+7x-2 cheers:)?

Case I : Factorization

4x² + 7x - 2
= 4x² - x + 8x - 2
= (4x² - x) + (8x - 2)
= x(4x - 1) + 2(4x - 1)
= (x + 2)(4x - 1)


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Case II : Solving Quadratic Equation

4x² + 7x - 2 = 0
4x² - x + 8x - 2 = 0
(4x² - x) + (8x - 2) = 0
x(4x - 1) + 2(4x - 1) = 0
(x + 2)(4x - 1) = 0
x = -2 or x = 1/4

4x^2 + 7x - 2
= 4x^2 + 8x - x - 2
= 4x(x + 2) - (x + 2)
= (4x - 1)(x + 2)

(4x - 1)(x + 2) = 0
4x - 1 = 0
x = 1/4
&
x + 2 = 0
x = -2

4x² + 7x - 2 = 4x² - x + 8x - 2 =

= x(4x - 1) + 2(4x - 1) = (x + 2)(4x - 1)
Hence,
x = -2, and x = 1/2. <-----------------------------/

4(x + 2)(x - 0.25)