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Simplifying 5x(6x + -13) = 0 Reorder the terms: 5x(-13 + 6x) = 0 (-13 * 5x + 6x * 5x) = 0 (-65x + 30x2) = 0 Solving -65x + 30x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(-13 + 6x) = 0 Ignore the factor 5.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 '(-13 + 6x)' equal to zero and attempt to solve: Simplifying -13 + 6x = 0 Solving -13 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 6x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 6x = 0 + 13 6x = 0 + 13 Combine like terms: 0 + 13 = 13 6x = 13 Divide each side by '6'. x = 2.166666667 Simplifying x = 2.166666667Solution
x = {0, 2.166666667}
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