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Simplifying 0 = 4x2 + 60x Reorder the terms: 0 = 60x + 4x2 Solving 0 = 60x + 4x2 Solving for variable 'x'. Remove the zero: -60x + -4x2 = 60x + 4x2 + -60x + -4x2 Reorder the terms: -60x + -4x2 = 60x + -60x + 4x2 + -4x2 Combine like terms: 60x + -60x = 0 -60x + -4x2 = 0 + 4x2 + -4x2 -60x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -60x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-4x'. -4x(15 + x) = 0 Ignore the factor -4.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 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 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 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Simplifying x = -15Solution
x = {0, -15}
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