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Simplifying x2 + -100 = x + -10(x + 10) Reorder the terms: -100 + x2 = x + -10(x + 10) Reorder the terms: -100 + x2 = x + -10(10 + x) -100 + x2 = x + (10 * -10 + x * -10) -100 + x2 = x + (-100 + -10x) Reorder the terms: -100 + x2 = -100 + x + -10x Combine like terms: x + -10x = -9x -100 + x2 = -100 + -9x Add '100' to each side of the equation. -100 + 100 + x2 = -100 + 100 + -9x Combine like terms: -100 + 100 = 0 0 + x2 = -100 + 100 + -9x x2 = -100 + 100 + -9x Combine like terms: -100 + 100 = 0 x2 = 0 + -9x x2 = -9x Solving x2 = -9x Solving for variable 'x'. Reorder the terms: 9x + x2 = -9x + 9x Combine like terms: -9x + 9x = 0 9x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(9 + x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Solution
x = {0, -9}
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