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Simplifying 0 = 2x2 + -10x Reorder the terms: 0 = -10x + 2x2 Solving 0 = -10x + 2x2 Solving for variable 'x'. Remove the zero: 10x + -2x2 = -10x + 2x2 + 10x + -2x2 Reorder the terms: 10x + -2x2 = -10x + 10x + 2x2 + -2x2 Combine like terms: -10x + 10x = 0 10x + -2x2 = 0 + 2x2 + -2x2 10x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 10x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(5 + -1x) = 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 '(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}
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