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Simplifying x2 + 75x = 0 Reorder the terms: 75x + x2 = 0 Solving 75x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(75 + x) = 0Subproblem 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 '(75 + x)' equal to zero and attempt to solve: Simplifying 75 + x = 0 Solving 75 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + x = 0 + -75 x = 0 + -75 Combine like terms: 0 + -75 = -75 x = -75 Simplifying x = -75Solution
x = {0, -75}
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