(2x+2)(2x-1)=2x+7

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Solution for (2x+2)(2x-1)=2x+7 equation:


Simplifying
(2x + 2)(2x + -1) = 2x + 7

Reorder the terms:
(2 + 2x)(2x + -1) = 2x + 7

Reorder the terms:
(2 + 2x)(-1 + 2x) = 2x + 7

Multiply (2 + 2x) * (-1 + 2x)
(2(-1 + 2x) + 2x * (-1 + 2x)) = 2x + 7
((-1 * 2 + 2x * 2) + 2x * (-1 + 2x)) = 2x + 7
((-2 + 4x) + 2x * (-1 + 2x)) = 2x + 7
(-2 + 4x + (-1 * 2x + 2x * 2x)) = 2x + 7
(-2 + 4x + (-2x + 4x2)) = 2x + 7

Combine like terms: 4x + -2x = 2x
(-2 + 2x + 4x2) = 2x + 7

Reorder the terms:
-2 + 2x + 4x2 = 7 + 2x

Add '-2x' to each side of the equation.
-2 + 2x + -2x + 4x2 = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + 0 + 4x2 = 7 + 2x + -2x
-2 + 4x2 = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + 4x2 = 7 + 0
-2 + 4x2 = 7

Solving
-2 + 4x2 = 7

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + 4x2 = 7 + 2

Combine like terms: -2 + 2 = 0
0 + 4x2 = 7 + 2
4x2 = 7 + 2

Combine like terms: 7 + 2 = 9
4x2 = 9

Divide each side by '4'.
x2 = 2.25

Simplifying
x2 = 2.25

Take the square root of each side:
x = {-1.5, 1.5}

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