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Simplifying 2x3 + 7x = 15x Reorder the terms: 7x + 2x3 = 15x Solving 7x + 2x3 = 15x Solving for variable 'x'. Reorder the terms: 7x + -15x + 2x3 = 15x + -15x Combine like terms: 7x + -15x = -8x -8x + 2x3 = 15x + -15x Combine like terms: 15x + -15x = 0 -8x + 2x3 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-4 + x2) = 0 Factor a difference between two squares. 2x((2 + x)(-2 + x)) = 0 Ignore the factor 2.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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 3
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Solution
x = {0, -2, 2}
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