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Simplifying (x + 3)(x + -6) = x * x + -39 Reorder the terms: (3 + x)(x + -6) = x * x + -39 Reorder the terms: (3 + x)(-6 + x) = x * x + -39 Multiply (3 + x) * (-6 + x) (3(-6 + x) + x(-6 + x)) = x * x + -39 ((-6 * 3 + x * 3) + x(-6 + x)) = x * x + -39 ((-18 + 3x) + x(-6 + x)) = x * x + -39 (-18 + 3x + (-6 * x + x * x)) = x * x + -39 (-18 + 3x + (-6x + x2)) = x * x + -39 Combine like terms: 3x + -6x = -3x (-18 + -3x + x2) = x * x + -39 Multiply x * x -18 + -3x + x2 = x2 + -39 Reorder the terms: -18 + -3x + x2 = -39 + x2 Add '-1x2' to each side of the equation. -18 + -3x + x2 + -1x2 = -39 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -18 + -3x + 0 = -39 + x2 + -1x2 -18 + -3x = -39 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -18 + -3x = -39 + 0 -18 + -3x = -39 Solving -18 + -3x = -39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -3x = -39 + 18 Combine like terms: -18 + 18 = 0 0 + -3x = -39 + 18 -3x = -39 + 18 Combine like terms: -39 + 18 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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