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Simplifying (x + -3)(x + 3) = x2 + 3x + -18 Reorder the terms: (-3 + x)(x + 3) = x2 + 3x + -18 Reorder the terms: (-3 + x)(3 + x) = x2 + 3x + -18 Multiply (-3 + x) * (3 + x) (-3(3 + x) + x(3 + x)) = x2 + 3x + -18 ((3 * -3 + x * -3) + x(3 + x)) = x2 + 3x + -18 ((-9 + -3x) + x(3 + x)) = x2 + 3x + -18 (-9 + -3x + (3 * x + x * x)) = x2 + 3x + -18 (-9 + -3x + (3x + x2)) = x2 + 3x + -18 Combine like terms: -3x + 3x = 0 (-9 + 0 + x2) = x2 + 3x + -18 (-9 + x2) = x2 + 3x + -18 Reorder the terms: -9 + x2 = -18 + 3x + x2 Add '-1x2' to each side of the equation. -9 + x2 + -1x2 = -18 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -9 + 0 = -18 + 3x + x2 + -1x2 -9 = -18 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -9 = -18 + 3x + 0 -9 = -18 + 3x Solving -9 = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + -3x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -3x = -18 + 0 -9 + -3x = -18 Add '9' to each side of the equation. -9 + 9 + -3x = -18 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = -18 + 9 -3x = -18 + 9 Combine like terms: -18 + 9 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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