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Simplifying 0 = -5x2 + x + 18 Reorder the terms: 0 = 18 + x + -5x2 Solving 0 = 18 + x + -5x2 Solving for variable 'x'. Combine like terms: 0 + -18 = -18 -18 + -1x + 5x2 = 18 + x + -5x2 + -18 + -1x + 5x2 Reorder the terms: -18 + -1x + 5x2 = 18 + -18 + x + -1x + -5x2 + 5x2 Combine like terms: 18 + -18 = 0 -18 + -1x + 5x2 = 0 + x + -1x + -5x2 + 5x2 -18 + -1x + 5x2 = x + -1x + -5x2 + 5x2 Combine like terms: x + -1x = 0 -18 + -1x + 5x2 = 0 + -5x2 + 5x2 -18 + -1x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 -18 + -1x + 5x2 = 0 Factor a trinomial. (-9 + -5x)(2 + -1x) = 0Subproblem 1
Set the factor '(-9 + -5x)' equal to zero and attempt to solve: Simplifying -9 + -5x = 0 Solving -9 + -5x = 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 + -5x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = 0 + 9 -5x = 0 + 9 Combine like terms: 0 + 9 = 9 -5x = 9 Divide each side by '-5'. x = -1.8 Simplifying x = -1.8Subproblem 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 = {-1.8, 2}
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