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Simplifying x2 + -4x + 13 = 4x + 1 Reorder the terms: 13 + -4x + x2 = 4x + 1 Reorder the terms: 13 + -4x + x2 = 1 + 4x Solving 13 + -4x + x2 = 1 + 4x Solving for variable 'x'. Reorder the terms: 13 + -1 + -4x + -4x + x2 = 1 + 4x + -1 + -4x Combine like terms: 13 + -1 = 12 12 + -4x + -4x + x2 = 1 + 4x + -1 + -4x Combine like terms: -4x + -4x = -8x 12 + -8x + x2 = 1 + 4x + -1 + -4x Reorder the terms: 12 + -8x + x2 = 1 + -1 + 4x + -4x Combine like terms: 1 + -1 = 0 12 + -8x + x2 = 0 + 4x + -4x 12 + -8x + x2 = 4x + -4x Combine like terms: 4x + -4x = 0 12 + -8x + x2 = 0 Factor a trinomial. (2 + -1x)(6 + -1x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {2, 6}
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