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Simplifying 0 = 3x2 + -10x + -8 Reorder the terms: 0 = -8 + -10x + 3x2 Solving 0 = -8 + -10x + 3x2 Solving for variable 'x'. Combine like terms: 0 + 8 = 8 8 + 10x + -3x2 = -8 + -10x + 3x2 + 8 + 10x + -3x2 Reorder the terms: 8 + 10x + -3x2 = -8 + 8 + -10x + 10x + 3x2 + -3x2 Combine like terms: -8 + 8 = 0 8 + 10x + -3x2 = 0 + -10x + 10x + 3x2 + -3x2 8 + 10x + -3x2 = -10x + 10x + 3x2 + -3x2 Combine like terms: -10x + 10x = 0 8 + 10x + -3x2 = 0 + 3x2 + -3x2 8 + 10x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 8 + 10x + -3x2 = 0 Factor a trinomial. (4 + -1x)(2 + 3x) = 0Subproblem 1
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 = 4Subproblem 2
Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 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 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Solution
x = {4, -0.6666666667}
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