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Simplifying -3x2 + 26x = 0 Reorder the terms: 26x + -3x2 = 0 Solving 26x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(26 + -3x) = 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 '(26 + -3x)' equal to zero and attempt to solve: Simplifying 26 + -3x = 0 Solving 26 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -3x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -3x = 0 + -26 -3x = 0 + -26 Combine like terms: 0 + -26 = -26 -3x = -26 Divide each side by '-3'. x = 8.666666667 Simplifying x = 8.666666667Solution
x = {0, 8.666666667}
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