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Simplifying 0 = 2x2 + -56x Reorder the terms: 0 = -56x + 2x2 Solving 0 = -56x + 2x2 Solving for variable 'x'. Remove the zero: 56x + -2x2 = -56x + 2x2 + 56x + -2x2 Reorder the terms: 56x + -2x2 = -56x + 56x + 2x2 + -2x2 Combine like terms: -56x + 56x = 0 56x + -2x2 = 0 + 2x2 + -2x2 56x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 56x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(28 + -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 '(28 + -1x)' equal to zero and attempt to solve: Simplifying 28 + -1x = 0 Solving 28 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 0 + -28 -1x = 0 + -28 Combine like terms: 0 + -28 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28Solution
x = {0, 28}
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