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Simplifying 13x + 7x2 = 5x2 + -15x Reorder the terms: 13x + 7x2 = -15x + 5x2 Solving 13x + 7x2 = -15x + 5x2 Solving for variable 'x'. Reorder the terms: 13x + 15x + 7x2 + -5x2 = -15x + 5x2 + 15x + -5x2 Combine like terms: 13x + 15x = 28x 28x + 7x2 + -5x2 = -15x + 5x2 + 15x + -5x2 Combine like terms: 7x2 + -5x2 = 2x2 28x + 2x2 = -15x + 5x2 + 15x + -5x2 Reorder the terms: 28x + 2x2 = -15x + 15x + 5x2 + -5x2 Combine like terms: -15x + 15x = 0 28x + 2x2 = 0 + 5x2 + -5x2 28x + 2x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 28x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(14 + x) = 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 '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Solution
x = {0, -14}
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