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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 + x) = 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 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {2.375, -2}
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