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Simplifying 0 = x2 + -14x Reorder the terms: 0 = -14x + x2 Solving 0 = -14x + x2 Solving for variable 'x'. Remove the zero: 14x + -1x2 = -14x + x2 + 14x + -1x2 Reorder the terms: 14x + -1x2 = -14x + 14x + x2 + -1x2 Combine like terms: -14x + 14x = 0 14x + -1x2 = 0 + x2 + -1x2 14x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 14x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(14 + -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 '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Solution
x = {0, 14}
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