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Simplifying 2x2 + -11x + 39 = x2 + -7x + -7x + 49 Reorder the terms: 39 + -11x + 2x2 = x2 + -7x + -7x + 49 Reorder the terms: 39 + -11x + 2x2 = 49 + -7x + -7x + x2 Combine like terms: -7x + -7x = -14x 39 + -11x + 2x2 = 49 + -14x + x2 Solving 39 + -11x + 2x2 = 49 + -14x + x2 Solving for variable 'x'. Reorder the terms: 39 + -49 + -11x + 14x + 2x2 + -1x2 = 49 + -14x + x2 + -49 + 14x + -1x2 Combine like terms: 39 + -49 = -10 -10 + -11x + 14x + 2x2 + -1x2 = 49 + -14x + x2 + -49 + 14x + -1x2 Combine like terms: -11x + 14x = 3x -10 + 3x + 2x2 + -1x2 = 49 + -14x + x2 + -49 + 14x + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 -10 + 3x + 1x2 = 49 + -14x + x2 + -49 + 14x + -1x2 Reorder the terms: -10 + 3x + 1x2 = 49 + -49 + -14x + 14x + x2 + -1x2 Combine like terms: 49 + -49 = 0 -10 + 3x + 1x2 = 0 + -14x + 14x + x2 + -1x2 -10 + 3x + 1x2 = -14x + 14x + x2 + -1x2 Combine like terms: -14x + 14x = 0 -10 + 3x + 1x2 = 0 + x2 + -1x2 -10 + 3x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10 + 3x + 1x2 = 0 Factor a trinomial. (-5 + -1x)(2 + -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 '(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 = 2Solution
x = {-5, 2}
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