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Simplifying 4x2 + -27x + 18 = -8x + 6 Reorder the terms: 18 + -27x + 4x2 = -8x + 6 Reorder the terms: 18 + -27x + 4x2 = 6 + -8x Solving 18 + -27x + 4x2 = 6 + -8x Solving for variable 'x'. Reorder the terms: 18 + -6 + -27x + 8x + 4x2 = 6 + -8x + -6 + 8x Combine like terms: 18 + -6 = 12 12 + -27x + 8x + 4x2 = 6 + -8x + -6 + 8x Combine like terms: -27x + 8x = -19x 12 + -19x + 4x2 = 6 + -8x + -6 + 8x Reorder the terms: 12 + -19x + 4x2 = 6 + -6 + -8x + 8x Combine like terms: 6 + -6 = 0 12 + -19x + 4x2 = 0 + -8x + 8x 12 + -19x + 4x2 = -8x + 8x Combine like terms: -8x + 8x = 0 12 + -19x + 4x2 = 0 Factor a trinomial. (3 + -4x)(4 + -1x) = 0Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0.75, 4}
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