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Simplifying -7x3 + 100x = -75x Reorder the terms: 100x + -7x3 = -75x Solving 100x + -7x3 = -75x Solving for variable 'x'. Reorder the terms: 100x + 75x + -7x3 = -75x + 75x Combine like terms: 100x + 75x = 175x 175x + -7x3 = -75x + 75x Combine like terms: -75x + 75x = 0 175x + -7x3 = 0 Factor out the Greatest Common Factor (GCF), '7x'. 7x(25 + -1x2) = 0 Factor a difference between two squares. 7x((5 + x)(5 + -1x)) = 0 Ignore the factor 7.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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 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, -5, 5}
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