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Simplifying x2 = 20x + -19 Reorder the terms: x2 = -19 + 20x Solving x2 = -19 + 20x Solving for variable 'x'. Reorder the terms: 19 + -20x + x2 = -19 + 20x + 19 + -20x Reorder the terms: 19 + -20x + x2 = -19 + 19 + 20x + -20x Combine like terms: -19 + 19 = 0 19 + -20x + x2 = 0 + 20x + -20x 19 + -20x + x2 = 20x + -20x Combine like terms: 20x + -20x = 0 19 + -20x + x2 = 0 Factor a trinomial. (1 + -1x)(19 + -1x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 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 = {1, 19}
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