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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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