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Simplifying 2x2 + x + -36 = x2 + 6x Reorder the terms: -36 + x + 2x2 = x2 + 6x Reorder the terms: -36 + x + 2x2 = 6x + x2 Solving -36 + x + 2x2 = 6x + x2 Solving for variable 'x'. Reorder the terms: -36 + x + -6x + 2x2 + -1x2 = 6x + x2 + -6x + -1x2 Combine like terms: x + -6x = -5x -36 + -5x + 2x2 + -1x2 = 6x + x2 + -6x + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 -36 + -5x + 1x2 = 6x + x2 + -6x + -1x2 Reorder the terms: -36 + -5x + 1x2 = 6x + -6x + x2 + -1x2 Combine like terms: 6x + -6x = 0 -36 + -5x + 1x2 = 0 + x2 + -1x2 -36 + -5x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -36 + -5x + 1x2 = 0 Factor a trinomial. (-4 + -1x)(9 + -1x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-4, 9}
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