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Simplifying 2x2 + -12x = 14x2 + -13x Reorder the terms: -12x + 2x2 = 14x2 + -13x Reorder the terms: -12x + 2x2 = -13x + 14x2 Solving -12x + 2x2 = -13x + 14x2 Solving for variable 'x'. Reorder the terms: -12x + 13x + 2x2 + -14x2 = -13x + 14x2 + 13x + -14x2 Combine like terms: -12x + 13x = 1x 1x + 2x2 + -14x2 = -13x + 14x2 + 13x + -14x2 Combine like terms: 2x2 + -14x2 = -12x2 1x + -12x2 = -13x + 14x2 + 13x + -14x2 Reorder the terms: 1x + -12x2 = -13x + 13x + 14x2 + -14x2 Combine like terms: -13x + 13x = 0 1x + -12x2 = 0 + 14x2 + -14x2 1x + -12x2 = 14x2 + -14x2 Combine like terms: 14x2 + -14x2 = 0 1x + -12x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -12x) = 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 '(1 + -12x)' equal to zero and attempt to solve: Simplifying 1 + -12x = 0 Solving 1 + -12x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -12x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -12x = 0 + -1 -12x = 0 + -1 Combine like terms: 0 + -1 = -1 -12x = -1 Divide each side by '-12'. x = 0.08333333333 Simplifying x = 0.08333333333Solution
x = {0, 0.08333333333}
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