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Simplifying 8x2 + -15x + -287 = 0 Reorder the terms: -287 + -15x + 8x2 = 0 Solving -287 + -15x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (-41 + -8x)(7 + -1x) = 0Subproblem 1
Set the factor '(-41 + -8x)' equal to zero and attempt to solve: Simplifying -41 + -8x = 0 Solving -41 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -8x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + -8x = 0 + 41 -8x = 0 + 41 Combine like terms: 0 + 41 = 41 -8x = 41 Divide each side by '-8'. x = -5.125 Simplifying x = -5.125Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-5.125, 7}
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