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Simplifying 15x = 5x + -1x2 Solving 15x = 5x + -1x2 Solving for variable 'x'. Combine like terms: 15x + -5x = 10x 10x + x2 = 5x + -1x2 + -5x + x2 Reorder the terms: 10x + x2 = 5x + -5x + -1x2 + x2 Combine like terms: 5x + -5x = 0 10x + x2 = 0 + -1x2 + x2 10x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 10x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(10 + 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 '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Solution
x = {0, -10}
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