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Simplifying x2 + 25x = -10x Reorder the terms: 25x + x2 = -10x Solving 25x + x2 = -10x Solving for variable 'x'. Reorder the terms: 25x + 10x + x2 = -10x + 10x Combine like terms: 25x + 10x = 35x 35x + x2 = -10x + 10x Combine like terms: -10x + 10x = 0 35x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(35 + 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 '(35 + x)' equal to zero and attempt to solve: Simplifying 35 + x = 0 Solving 35 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + x = 0 + -35 x = 0 + -35 Combine like terms: 0 + -35 = -35 x = -35 Simplifying x = -35Solution
x = {0, -35}
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