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Simplifying
140 = (2x + -2)(2x + 2)
Reorder the terms:
140 = (-2 + 2x)(2x + 2)
Reorder the terms:
140 = (-2 + 2x)(2 + 2x)
Multiply (-2 + 2x) * (2 + 2x)
140 = (-2(2 + 2x) + 2x * (2 + 2x))
140 = ((2 * -2 + 2x * -2) + 2x * (2 + 2x))
140 = ((-4 + -4x) + 2x * (2 + 2x))
140 = (-4 + -4x + (2 * 2x + 2x * 2x))
140 = (-4 + -4x + (4x + 4x2))
Combine like terms: -4x + 4x = 0
140 = (-4 + 0 + 4x2)
140 = (-4 + 4x2)
Solving
140 = -4 + 4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x2' to each side of the equation.
140 + -4x2 = -4 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
140 + -4x2 = -4 + 0
140 + -4x2 = -4
Add '-140' to each side of the equation.
140 + -140 + -4x2 = -4 + -140
Combine like terms: 140 + -140 = 0
0 + -4x2 = -4 + -140
-4x2 = -4 + -140
Combine like terms: -4 + -140 = -144
-4x2 = -144
Divide each side by '-4'.
x2 = 36
Simplifying
x2 = 36
Take the square root of each side:
x = {-6, 6}
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