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Simplifying x2 + -19x = 5x + -144 Reorder the terms: -19x + x2 = 5x + -144 Reorder the terms: -19x + x2 = -144 + 5x Solving -19x + x2 = -144 + 5x Solving for variable 'x'. Reorder the terms: 144 + -19x + -5x + x2 = -144 + 5x + 144 + -5x Combine like terms: -19x + -5x = -24x 144 + -24x + x2 = -144 + 5x + 144 + -5x Reorder the terms: 144 + -24x + x2 = -144 + 144 + 5x + -5x Combine like terms: -144 + 144 = 0 144 + -24x + x2 = 0 + 5x + -5x 144 + -24x + x2 = 5x + -5x Combine like terms: 5x + -5x = 0 144 + -24x + x2 = 0 Factor a trinomial. (12 + -1x)(12 + -1x) = 0Subproblem 1
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {12, 12}
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