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Simplifying 0 = -3x(x + 100) Reorder the terms: 0 = -3x(100 + x) 0 = (100 * -3x + x * -3x) 0 = (-300x + -3x2) Solving 0 = -300x + -3x2 Solving for variable 'x'. Remove the zero: 300x + 3x2 = -300x + -3x2 + 300x + 3x2 Reorder the terms: 300x + 3x2 = -300x + 300x + -3x2 + 3x2 Combine like terms: -300x + 300x = 0 300x + 3x2 = 0 + -3x2 + 3x2 300x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 300x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(100 + x) = 0 Ignore the factor 3.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 '(100 + x)' equal to zero and attempt to solve: Simplifying 100 + x = 0 Solving 100 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + x = 0 + -100 x = 0 + -100 Combine like terms: 0 + -100 = -100 x = -100 Simplifying x = -100Solution
x = {0, -100}
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