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Simplifying 2x2 + 76x = 20x Reorder the terms: 76x + 2x2 = 20x Solving 76x + 2x2 = 20x Solving for variable 'x'. Reorder the terms: 76x + -20x + 2x2 = 20x + -20x Combine like terms: 76x + -20x = 56x 56x + 2x2 = 20x + -20x Combine like terms: 20x + -20x = 0 56x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(28 + x) = 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 + x)' equal to zero and attempt to solve: Simplifying 28 + x = 0 Solving 28 + x = 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 + x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + x = 0 + -28 x = 0 + -28 Combine like terms: 0 + -28 = -28 x = -28 Simplifying x = -28Solution
x = {0, -28}
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