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Simplifying 26x2 + 24x = 0 Reorder the terms: 24x + 26x2 = 0 Solving 24x + 26x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(12 + 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 '(12 + 13x)' equal to zero and attempt to solve: Simplifying 12 + 13x = 0 Solving 12 + 13x = 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 + 13x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 13x = 0 + -12 13x = 0 + -12 Combine like terms: 0 + -12 = -12 13x = -12 Divide each side by '13'. x = -0.9230769231 Simplifying x = -0.9230769231Solution
x = {0, -0.9230769231}
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