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Simplifying 0 = -180x + -4x2 Solving 0 = -180x + -4x2 Solving for variable 'x'. Remove the zero: 180x + 4x2 = -180x + -4x2 + 180x + 4x2 Reorder the terms: 180x + 4x2 = -180x + 180x + -4x2 + 4x2 Combine like terms: -180x + 180x = 0 180x + 4x2 = 0 + -4x2 + 4x2 180x + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 180x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(45 + 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 '(45 + x)' equal to zero and attempt to solve: Simplifying 45 + x = 0 Solving 45 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + x = 0 + -45 x = 0 + -45 Combine like terms: 0 + -45 = -45 x = -45 Simplifying x = -45Solution
x = {0, -45}
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