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Simplifying 0 = x(x + -19) Reorder the terms: 0 = x(-19 + x) 0 = (-19 * x + x * x) 0 = (-19x + x2) Solving 0 = -19x + x2 Solving for variable 'x'. Remove the zero: 19x + -1x2 = -19x + x2 + 19x + -1x2 Reorder the terms: 19x + -1x2 = -19x + 19x + x2 + -1x2 Combine like terms: -19x + 19x = 0 19x + -1x2 = 0 + x2 + -1x2 19x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 19x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(19 + -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 '(19 + -1x)' equal to zero and attempt to solve: Simplifying 19 + -1x = 0 Solving 19 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = 0 + -19 -1x = 0 + -19 Combine like terms: 0 + -19 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19Solution
x = {0, 19}
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