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Simplifying 0 = -40x + x2 Solving 0 = -40x + x2 Solving for variable 'x'. Remove the zero: 40x + -1x2 = -40x + x2 + 40x + -1x2 Reorder the terms: 40x + -1x2 = -40x + 40x + x2 + -1x2 Combine like terms: -40x + 40x = 0 40x + -1x2 = 0 + x2 + -1x2 40x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 40x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(40 + -1x) = 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 '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40Solution
x = {0, 40}
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