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Simplifying 9x2 + 15x + -5x = 2x2 + -10x Reorder the terms: 15x + -5x + 9x2 = 2x2 + -10x Combine like terms: 15x + -5x = 10x 10x + 9x2 = 2x2 + -10x Reorder the terms: 10x + 9x2 = -10x + 2x2 Solving 10x + 9x2 = -10x + 2x2 Solving for variable 'x'. Reorder the terms: 10x + 10x + 9x2 + -2x2 = -10x + 2x2 + 10x + -2x2 Combine like terms: 10x + 10x = 20x 20x + 9x2 + -2x2 = -10x + 2x2 + 10x + -2x2 Combine like terms: 9x2 + -2x2 = 7x2 20x + 7x2 = -10x + 2x2 + 10x + -2x2 Reorder the terms: 20x + 7x2 = -10x + 10x + 2x2 + -2x2 Combine like terms: -10x + 10x = 0 20x + 7x2 = 0 + 2x2 + -2x2 20x + 7x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 20x + 7x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(20 + 7x) = 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 '(20 + 7x)' equal to zero and attempt to solve: Simplifying 20 + 7x = 0 Solving 20 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 7x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 7x = 0 + -20 7x = 0 + -20 Combine like terms: 0 + -20 = -20 7x = -20 Divide each side by '7'. x = -2.857142857 Simplifying x = -2.857142857Solution
x = {0, -2.857142857}
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