5-(2x+4)(x-2)=7

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Solution for 5-(2x+4)(x-2)=7 equation: 


Simplifying
5 + -1(2x + 4)(x + -2) = 7

Reorder the terms:
5 + -1(4 + 2x)(x + -2) = 7

Reorder the terms:
5 + -1(4 + 2x)(-2 + x) = 7

Multiply (4 + 2x) * (-2 + x)
5 + -1(4(-2 + x) + 2x * (-2 + x)) = 7
5 + -1((-2 * 4 + x * 4) + 2x * (-2 + x)) = 7
5 + -1((-8 + 4x) + 2x * (-2 + x)) = 7
5 + -1(-8 + 4x + (-2 * 2x + x * 2x)) = 7
5 + -1(-8 + 4x + (-4x + 2x2)) = 7

Combine like terms: 4x + -4x = 0
5 + -1(-8 + 0 + 2x2) = 7
5 + -1(-8 + 2x2) = 7
5 + (-8 * -1 + 2x2 * -1) = 7
5 + (8 + -2x2) = 7

Combine like terms: 5 + 8 = 13
13 + -2x2 = 7

Solving
13 + -2x2 = 7

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + -2x2 = 7 + -13

Combine like terms: 13 + -13 = 0
0 + -2x2 = 7 + -13
-2x2 = 7 + -13

Combine like terms: 7 + -13 = -6
-2x2 = -6

Divide each side by '-2'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}

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