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Simplifying 8x2 + 10x + -13 = 6x2 + -14x + -13 Reorder the terms: -13 + 10x + 8x2 = 6x2 + -14x + -13 Reorder the terms: -13 + 10x + 8x2 = -13 + -14x + 6x2 Add '13' to each side of the equation. -13 + 10x + 13 + 8x2 = -13 + -14x + 13 + 6x2 Reorder the terms: -13 + 13 + 10x + 8x2 = -13 + -14x + 13 + 6x2 Combine like terms: -13 + 13 = 0 0 + 10x + 8x2 = -13 + -14x + 13 + 6x2 10x + 8x2 = -13 + -14x + 13 + 6x2 Reorder the terms: 10x + 8x2 = -13 + 13 + -14x + 6x2 Combine like terms: -13 + 13 = 0 10x + 8x2 = 0 + -14x + 6x2 10x + 8x2 = -14x + 6x2 Solving 10x + 8x2 = -14x + 6x2 Solving for variable 'x'. Reorder the terms: 10x + 14x + 8x2 + -6x2 = -14x + 6x2 + 14x + -6x2 Combine like terms: 10x + 14x = 24x 24x + 8x2 + -6x2 = -14x + 6x2 + 14x + -6x2 Combine like terms: 8x2 + -6x2 = 2x2 24x + 2x2 = -14x + 6x2 + 14x + -6x2 Reorder the terms: 24x + 2x2 = -14x + 14x + 6x2 + -6x2 Combine like terms: -14x + 14x = 0 24x + 2x2 = 0 + 6x2 + -6x2 24x + 2x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 24x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(12 + 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 '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Solution
x = {0, -12}
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