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Simplifying 9x2 = 15x2 + -10x Reorder the terms: 9x2 = -10x + 15x2 Solving 9x2 = -10x + 15x2 Solving for variable 'x'. Reorder the terms: 10x + 9x2 + -15x2 = -10x + 15x2 + 10x + -15x2 Combine like terms: 9x2 + -15x2 = -6x2 10x + -6x2 = -10x + 15x2 + 10x + -15x2 Reorder the terms: 10x + -6x2 = -10x + 10x + 15x2 + -15x2 Combine like terms: -10x + 10x = 0 10x + -6x2 = 0 + 15x2 + -15x2 10x + -6x2 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 10x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(5 + -3x) = 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 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {0, 1.666666667}
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