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Simplifying 4x2 + -19x + 8 = -8x + 2 Reorder the terms: 8 + -19x + 4x2 = -8x + 2 Reorder the terms: 8 + -19x + 4x2 = 2 + -8x Solving 8 + -19x + 4x2 = 2 + -8x Solving for variable 'x'. Reorder the terms: 8 + -2 + -19x + 8x + 4x2 = 2 + -8x + -2 + 8x Combine like terms: 8 + -2 = 6 6 + -19x + 8x + 4x2 = 2 + -8x + -2 + 8x Combine like terms: -19x + 8x = -11x 6 + -11x + 4x2 = 2 + -8x + -2 + 8x Reorder the terms: 6 + -11x + 4x2 = 2 + -2 + -8x + 8x Combine like terms: 2 + -2 = 0 6 + -11x + 4x2 = 0 + -8x + 8x 6 + -11x + 4x2 = -8x + 8x Combine like terms: -8x + 8x = 0 6 + -11x + 4x2 = 0 Factor a trinomial. (3 + -4x)(2 + -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 '(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 = {0.75, 2}
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