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Simplifying 4x2 + -7x + -102 = 0 Reorder the terms: -102 + -7x + 4x2 = 0 Solving -102 + -7x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-17 + -4x)(6 + -1x) = 0Subproblem 1
Set the factor '(-17 + -4x)' equal to zero and attempt to solve: Simplifying -17 + -4x = 0 Solving -17 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -4x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -4x = 0 + 17 -4x = 0 + 17 Combine like terms: 0 + 17 = 17 -4x = 17 Divide each side by '-4'. x = -4.25 Simplifying x = -4.25Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-4.25, 6}
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