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Simplifying 0 = 4x2 + -1x + -18 Reorder the terms: 0 = -18 + -1x + 4x2 Solving 0 = -18 + -1x + 4x2 Solving for variable 'x'. Combine like terms: 0 + 18 = 18 18 + x + -4x2 = -18 + -1x + 4x2 + 18 + x + -4x2 Reorder the terms: 18 + x + -4x2 = -18 + 18 + -1x + x + 4x2 + -4x2 Combine like terms: -18 + 18 = 0 18 + x + -4x2 = 0 + -1x + x + 4x2 + -4x2 18 + x + -4x2 = -1x + x + 4x2 + -4x2 Combine like terms: -1x + x = 0 18 + x + -4x2 = 0 + 4x2 + -4x2 18 + x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 18 + x + -4x2 = 0 Factor a trinomial. (9 + -4x)(2 + x) = 0Subproblem 1
Set the factor '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 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 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {2.25, -2}
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