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Simplifying 5x(5x2 + -40x + 75) = 0 Reorder the terms: 5x(75 + -40x + 5x2) = 0 (75 * 5x + -40x * 5x + 5x2 * 5x) = 0 (375x + -200x2 + 25x3) = 0 Solving 375x + -200x2 + 25x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '25x'. 25x(15 + -8x + x2) = 0 Factor a trinomial. 25x((3 + -1x)(5 + -1x)) = 0 Ignore the factor 25.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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 3
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {0, 3, 5}
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