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Simplifying 5x2 + -13x + -18 = 0 Reorder the terms: -18 + -13x + 5x2 = 0 Solving -18 + -13x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x)(18 + -5x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(18 + -5x)' equal to zero and attempt to solve: Simplifying 18 + -5x = 0 Solving 18 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -5x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -5x = 0 + -18 -5x = 0 + -18 Combine like terms: 0 + -18 = -18 -5x = -18 Divide each side by '-5'. x = 3.6 Simplifying x = 3.6Solution
x = {-1, 3.6}
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