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Simplifying x2 + -8x + 19 = 2x + -6 Reorder the terms: 19 + -8x + x2 = 2x + -6 Reorder the terms: 19 + -8x + x2 = -6 + 2x Solving 19 + -8x + x2 = -6 + 2x Solving for variable 'x'. Reorder the terms: 19 + 6 + -8x + -2x + x2 = -6 + 2x + 6 + -2x Combine like terms: 19 + 6 = 25 25 + -8x + -2x + x2 = -6 + 2x + 6 + -2x Combine like terms: -8x + -2x = -10x 25 + -10x + x2 = -6 + 2x + 6 + -2x Reorder the terms: 25 + -10x + x2 = -6 + 6 + 2x + -2x Combine like terms: -6 + 6 = 0 25 + -10x + x2 = 0 + 2x + -2x 25 + -10x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 25 + -10x + x2 = 0 Factor a trinomial. (5 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {5, 5}
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