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Simplifying -9x2 + -15x = -5x2 + -5x Reorder the terms: -15x + -9x2 = -5x2 + -5x Reorder the terms: -15x + -9x2 = -5x + -5x2 Solving -15x + -9x2 = -5x + -5x2 Solving for variable 'x'. Reorder the terms: -15x + 5x + -9x2 + 5x2 = -5x + -5x2 + 5x + 5x2 Combine like terms: -15x + 5x = -10x -10x + -9x2 + 5x2 = -5x + -5x2 + 5x + 5x2 Combine like terms: -9x2 + 5x2 = -4x2 -10x + -4x2 = -5x + -5x2 + 5x + 5x2 Reorder the terms: -10x + -4x2 = -5x + 5x + -5x2 + 5x2 Combine like terms: -5x + 5x = 0 -10x + -4x2 = 0 + -5x2 + 5x2 -10x + -4x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 -10x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(5 + 2x) = 0 Ignore the factor -2.Subproblem 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 '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Solution
x = {0, -2.5}
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