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Simplifying 34 = x2 + 7x + -44 Reorder the terms: 34 = -44 + 7x + x2 Solving 34 = -44 + 7x + x2 Solving for variable 'x'. Combine like terms: 34 + 44 = 78 78 + -7x + -1x2 = -44 + 7x + x2 + 44 + -7x + -1x2 Reorder the terms: 78 + -7x + -1x2 = -44 + 44 + 7x + -7x + x2 + -1x2 Combine like terms: -44 + 44 = 0 78 + -7x + -1x2 = 0 + 7x + -7x + x2 + -1x2 78 + -7x + -1x2 = 7x + -7x + x2 + -1x2 Combine like terms: 7x + -7x = 0 78 + -7x + -1x2 = 0 + x2 + -1x2 78 + -7x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 78 + -7x + -1x2 = 0 Factor a trinomial. (6 + -1x)(13 + x) = 0Subproblem 1
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 = 6Subproblem 2
Set the factor '(13 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13Solution
x = {6, -13}
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