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Simplifying 0 = 2x2 + -30x Reorder the terms: 0 = -30x + 2x2 Solving 0 = -30x + 2x2 Solving for variable 'x'. Remove the zero: 30x + -2x2 = -30x + 2x2 + 30x + -2x2 Reorder the terms: 30x + -2x2 = -30x + 30x + 2x2 + -2x2 Combine like terms: -30x + 30x = 0 30x + -2x2 = 0 + 2x2 + -2x2 30x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 30x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(15 + -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 '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {0, 15}
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