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Simplifying 8x2 + 3x + -38 = 0 Reorder the terms: -38 + 3x + 8x2 = 0 Solving -38 + 3x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (-19 + -8x)(2 + -1x) = 0Subproblem 1
Set the factor '(-19 + -8x)' equal to zero and attempt to solve: Simplifying -19 + -8x = 0 Solving -19 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -8x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -8x = 0 + 19 -8x = 0 + 19 Combine like terms: 0 + 19 = 19 -8x = 19 Divide each side by '-8'. x = -2.375 Simplifying x = -2.375Subproblem 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 = {-2.375, 2}
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