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Simplifying x2 = (x + 18)(x + -9) Reorder the terms: x2 = (18 + x)(x + -9) Reorder the terms: x2 = (18 + x)(-9 + x) Multiply (18 + x) * (-9 + x) x2 = (18(-9 + x) + x(-9 + x)) x2 = ((-9 * 18 + x * 18) + x(-9 + x)) x2 = ((-162 + 18x) + x(-9 + x)) x2 = (-162 + 18x + (-9 * x + x * x)) x2 = (-162 + 18x + (-9x + x2)) Combine like terms: 18x + -9x = 9x x2 = (-162 + 9x + x2) Add '-1x2' to each side of the equation. x2 + -1x2 = -162 + 9x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -162 + 9x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -162 + 9x + 0 0 = -162 + 9x Solving 0 = -162 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 0 + -9x = -162 + 9x + -9x Remove the zero: -9x = -162 + 9x + -9x Combine like terms: 9x + -9x = 0 -9x = -162 + 0 -9x = -162 Divide each side by '-9'. x = 18 Simplifying x = 18
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