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Simplifying x3 + 16x = 25x Reorder the terms: 16x + x3 = 25x Solving 16x + x3 = 25x Solving for variable 'x'. Reorder the terms: 16x + -25x + x3 = 25x + -25x Combine like terms: 16x + -25x = -9x -9x + x3 = 25x + -25x Combine like terms: 25x + -25x = 0 -9x + x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-9 + x2) = 0 Factor a difference between two squares. x((3 + x)(-3 + x)) = 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 3
Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 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 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Solution
x = {0, -3, 3}
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