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Simplifying x2 + -2x + 52 = 4x + 43 Reorder the terms: 52 + -2x + x2 = 4x + 43 Reorder the terms: 52 + -2x + x2 = 43 + 4x Solving 52 + -2x + x2 = 43 + 4x Solving for variable 'x'. Reorder the terms: 52 + -43 + -2x + -4x + x2 = 43 + 4x + -43 + -4x Combine like terms: 52 + -43 = 9 9 + -2x + -4x + x2 = 43 + 4x + -43 + -4x Combine like terms: -2x + -4x = -6x 9 + -6x + x2 = 43 + 4x + -43 + -4x Reorder the terms: 9 + -6x + x2 = 43 + -43 + 4x + -4x Combine like terms: 43 + -43 = 0 9 + -6x + x2 = 0 + 4x + -4x 9 + -6x + x2 = 4x + -4x Combine like terms: 4x + -4x = 0 9 + -6x + x2 = 0 Factor a trinomial. (3 + -1x)(3 + -1x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {3, 3}
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