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Simplifying 5x2 + -10x = 15x Reorder the terms: -10x + 5x2 = 15x Solving -10x + 5x2 = 15x Solving for variable 'x'. Reorder the terms: -10x + -15x + 5x2 = 15x + -15x Combine like terms: -10x + -15x = -25x -25x + 5x2 = 15x + -15x Combine like terms: 15x + -15x = 0 -25x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(-5 + x) = 0 Ignore the factor 5.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 = 5Solution
x = {0, 5}
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