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Simplifying 8x2 + -1x + -30 = 0 Reorder the terms: -30 + -1x + 8x2 = 0 Solving -30 + -1x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (-15 + -8x)(2 + -1x) = 0Subproblem 1
Set the factor '(-15 + -8x)' equal to zero and attempt to solve: Simplifying -15 + -8x = 0 Solving -15 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -8x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -8x = 0 + 15 -8x = 0 + 15 Combine like terms: 0 + 15 = 15 -8x = 15 Divide each side by '-8'. x = -1.875 Simplifying x = -1.875Subproblem 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 = {-1.875, 2}
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