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Simplifying 26x2 + 50x = 0 Reorder the terms: 50x + 26x2 = 0 Solving 50x + 26x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(25 + 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 '(25 + 13x)' equal to zero and attempt to solve: Simplifying 25 + 13x = 0 Solving 25 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 13x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 13x = 0 + -25 13x = 0 + -25 Combine like terms: 0 + -25 = -25 13x = -25 Divide each side by '13'. x = -1.923076923 Simplifying x = -1.923076923Solution
x = {0, -1.923076923}
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