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Simplifying 60 = (x + 2)(x + -2) Reorder the terms: 60 = (2 + x)(x + -2) Reorder the terms: 60 = (2 + x)(-2 + x) Multiply (2 + x) * (-2 + x) 60 = (2(-2 + x) + x(-2 + x)) 60 = ((-2 * 2 + x * 2) + x(-2 + x)) 60 = ((-4 + 2x) + x(-2 + x)) 60 = (-4 + 2x + (-2 * x + x * x)) 60 = (-4 + 2x + (-2x + x2)) Combine like terms: 2x + -2x = 0 60 = (-4 + 0 + x2) 60 = (-4 + x2) Solving 60 = -4 + x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x2' to each side of the equation. 60 + -1x2 = -4 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 60 + -1x2 = -4 + 0 60 + -1x2 = -4 Add '-60' to each side of the equation. 60 + -60 + -1x2 = -4 + -60 Combine like terms: 60 + -60 = 0 0 + -1x2 = -4 + -60 -1x2 = -4 + -60 Combine like terms: -4 + -60 = -64 -1x2 = -64 Divide each side by '-1'. x2 = 64 Simplifying x2 = 64 Take the square root of each side: x = {-8, 8}
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