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Simplifying 4x2 = -1x + 18 Reorder the terms: 4x2 = 18 + -1x Solving 4x2 = 18 + -1x Solving for variable 'x'. Reorder the terms: -18 + x + 4x2 = 18 + -1x + -18 + x Reorder the terms: -18 + x + 4x2 = 18 + -18 + -1x + x Combine like terms: 18 + -18 = 0 -18 + x + 4x2 = 0 + -1x + x -18 + x + 4x2 = -1x + x Combine like terms: -1x + x = 0 -18 + x + 4x2 = 0 Factor a trinomial. (-9 + -4x)(2 + -1x) = 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 + -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 = {-2.25, 2}
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