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Simplifying 6x2 + -115 = -7x Reorder the terms: -115 + 6x2 = -7x Solving -115 + 6x2 = -7x Solving for variable 'x'. Reorder the terms: -115 + 7x + 6x2 = -7x + 7x Combine like terms: -7x + 7x = 0 -115 + 7x + 6x2 = 0 Factor a trinomial. (-5 + -1x)(23 + -6x) = 0Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 2
Set the factor '(23 + -6x)' equal to zero and attempt to solve: Simplifying 23 + -6x = 0 Solving 23 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -6x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -6x = 0 + -23 -6x = 0 + -23 Combine like terms: 0 + -23 = -23 -6x = -23 Divide each side by '-6'. x = 3.833333333 Simplifying x = 3.833333333Solution
x = {-5, 3.833333333}
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