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Simplifying x3 = 10x2 + -25x Reorder the terms: x3 = -25x + 10x2 Solving x3 = -25x + 10x2 Solving for variable 'x'. Reorder the terms: 25x + -10x2 + x3 = -25x + 10x2 + 25x + -10x2 Reorder the terms: 25x + -10x2 + x3 = -25x + 25x + 10x2 + -10x2 Combine like terms: -25x + 25x = 0 25x + -10x2 + x3 = 0 + 10x2 + -10x2 25x + -10x2 + x3 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 25x + -10x2 + x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(25 + -10x + x2) = 0 Factor a trinomial. x((5 + -1x)(5 + -1x)) = 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 '(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 = 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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