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Simplifying (6x2 + -18) = (5x2 + -7x) Reorder the terms: (-18 + 6x2) = (5x2 + -7x) Remove parenthesis around (-18 + 6x2) -18 + 6x2 = (5x2 + -7x) Reorder the terms: -18 + 6x2 = (-7x + 5x2) Remove parenthesis around (-7x + 5x2) -18 + 6x2 = -7x + 5x2 Solving -18 + 6x2 = -7x + 5x2 Solving for variable 'x'. Reorder the terms: -18 + 7x + 6x2 + -5x2 = -7x + 5x2 + 7x + -5x2 Combine like terms: 6x2 + -5x2 = 1x2 -18 + 7x + 1x2 = -7x + 5x2 + 7x + -5x2 Reorder the terms: -18 + 7x + 1x2 = -7x + 7x + 5x2 + -5x2 Combine like terms: -7x + 7x = 0 -18 + 7x + 1x2 = 0 + 5x2 + -5x2 -18 + 7x + 1x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -18 + 7x + 1x2 = 0 Factor a trinomial. (-9 + -1x)(2 + -1x) = 0Subproblem 1
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 = -9Subproblem 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 = {-9, 2}
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