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Simplifying 6x2 + 7x + -68 = 0 Reorder the terms: -68 + 7x + 6x2 = 0 Solving -68 + 7x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(17 + -6x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(17 + -6x)' equal to zero and attempt to solve: Simplifying 17 + -6x = 0 Solving 17 + -6x = 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 + -6x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -6x = 0 + -17 -6x = 0 + -17 Combine like terms: 0 + -17 = -17 -6x = -17 Divide each side by '-6'. x = 2.833333333 Simplifying x = 2.833333333Solution
x = {-4, 2.833333333}
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