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Simplifying -14x2 + 15x = -2x2 + 5x Reorder the terms: 15x + -14x2 = -2x2 + 5x Reorder the terms: 15x + -14x2 = 5x + -2x2 Solving 15x + -14x2 = 5x + -2x2 Solving for variable 'x'. Reorder the terms: 15x + -5x + -14x2 + 2x2 = 5x + -2x2 + -5x + 2x2 Combine like terms: 15x + -5x = 10x 10x + -14x2 + 2x2 = 5x + -2x2 + -5x + 2x2 Combine like terms: -14x2 + 2x2 = -12x2 10x + -12x2 = 5x + -2x2 + -5x + 2x2 Reorder the terms: 10x + -12x2 = 5x + -5x + -2x2 + 2x2 Combine like terms: 5x + -5x = 0 10x + -12x2 = 0 + -2x2 + 2x2 10x + -12x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 10x + -12x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(5 + -6x) = 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 + -6x)' equal to zero and attempt to solve: Simplifying 5 + -6x = 0 Solving 5 + -6x = 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 + -6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 0 + -5 -6x = 0 + -5 Combine like terms: 0 + -5 = -5 -6x = -5 Divide each side by '-6'. x = 0.8333333333 Simplifying x = 0.8333333333Solution
x = {0, 0.8333333333}
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