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Simplifying 12x = 26x2 + 16x Reorder the terms: 12x = 16x + 26x2 Solving 12x = 16x + 26x2 Solving for variable 'x'. Combine like terms: 12x + -16x = -4x -4x + -26x2 = 16x + 26x2 + -16x + -26x2 Reorder the terms: -4x + -26x2 = 16x + -16x + 26x2 + -26x2 Combine like terms: 16x + -16x = 0 -4x + -26x2 = 0 + 26x2 + -26x2 -4x + -26x2 = 26x2 + -26x2 Combine like terms: 26x2 + -26x2 = 0 -4x + -26x2 = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(2 + 13x) = 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 '(2 + 13x)' equal to zero and attempt to solve: Simplifying 2 + 13x = 0 Solving 2 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 13x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = 0 + -2 13x = 0 + -2 Combine like terms: 0 + -2 = -2 13x = -2 Divide each side by '13'. x = -0.1538461538 Simplifying x = -0.1538461538Solution
x = {0, -0.1538461538}
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