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Simplifying 3x2 + -7x + -110 = 0 Reorder the terms: -110 + -7x + 3x2 = 0 Solving -110 + -7x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -1x)(22 + -3x) = 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 '(22 + -3x)' equal to zero and attempt to solve: Simplifying 22 + -3x = 0 Solving 22 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -3x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -3x = 0 + -22 -3x = 0 + -22 Combine like terms: 0 + -22 = -22 -3x = -22 Divide each side by '-3'. x = 7.333333333 Simplifying x = 7.333333333Solution
x = {-5, 7.333333333}
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