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Simplifying 18 = 5x2 + -1x Reorder the terms: 18 = -1x + 5x2 Solving 18 = -1x + 5x2 Solving for variable 'x'. Reorder the terms: 18 + x + -5x2 = -1x + x + 5x2 + -5x2 Combine like terms: -1x + x = 0 18 + x + -5x2 = 0 + 5x2 + -5x2 18 + x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 18 + x + -5x2 = 0 Factor a trinomial. (2 + -1x)(9 + 5x) = 0Subproblem 1
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 = 2Subproblem 2
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 = -1.8Solution
x = {2, -1.8}
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