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Simplifying x2 + 8x = -15x Reorder the terms: 8x + x2 = -15x Solving 8x + x2 = -15x Solving for variable 'x'. Reorder the terms: 8x + 15x + x2 = -15x + 15x Combine like terms: 8x + 15x = 23x 23x + x2 = -15x + 15x Combine like terms: -15x + 15x = 0 23x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(23 + 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 '(23 + x)' equal to zero and attempt to solve: Simplifying 23 + x = 0 Solving 23 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + x = 0 + -23 x = 0 + -23 Combine like terms: 0 + -23 = -23 x = -23 Simplifying x = -23Solution
x = {0, -23}
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