Respuesta :

Answer: 1.5, -0.5

Step-by-step explanation:

4x2 + 4x -3 = 0

4x2 + 4x = 3

x2 + x = 3/4

The values of x are x = 0.5 or x = -1.5

The equation is given as:

[tex]4x^2 + 4x - 3 = 0[/tex]

Expand

[tex]4x^2 + 6x - 2x - 3 = 0[/tex]

Factorize the expression

[tex]2x(2x + 3) -1( 2x + 3) = 0[/tex]

Factor out 2x + 3

[tex](2x - 1)(2x + 3) = 0[/tex]

Split

2x - 1 = 0 or 2x + 3 = 0

Solve for x

x = 0.5 or x = -1.5

Hence, the values of x are x = 0.5 or x = -1.5

Read more about quadratic equations at:

https://brainly.com/question/1214333

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