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Simplifying 0 = -1600x + -1x2 Solving 0 = -1600x + -1x2 Solving for variable 'x'. Remove the zero: 1600x + x2 = -1600x + -1x2 + 1600x + x2 Reorder the terms: 1600x + x2 = -1600x + 1600x + -1x2 + x2 Combine like terms: -1600x + 1600x = 0 1600x + x2 = 0 + -1x2 + x2 1600x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 1600x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1600 + 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 '(1600 + x)' equal to zero and attempt to solve: Simplifying 1600 + x = 0 Solving 1600 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1600' to each side of the equation. 1600 + -1600 + x = 0 + -1600 Combine like terms: 1600 + -1600 = 0 0 + x = 0 + -1600 x = 0 + -1600 Combine like terms: 0 + -1600 = -1600 x = -1600 Simplifying x = -1600Solution
x = {0, -1600}
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