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Simplifying 44x + 2x2 + -5x = 110 Reorder the terms: 44x + -5x + 2x2 = 110 Combine like terms: 44x + -5x = 39x 39x + 2x2 = 110 Solving 39x + 2x2 = 110 Solving for variable 'x'. Reorder the terms: -110 + 39x + 2x2 = 110 + -110 Combine like terms: 110 + -110 = 0 -110 + 39x + 2x2 = 0 Factor a trinomial. (-22 + -1x)(5 + -2x) = 0Subproblem 1
Set the factor '(-22 + -1x)' equal to zero and attempt to solve: Simplifying -22 + -1x = 0 Solving -22 + -1x = 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 + -1x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -1x = 0 + 22 -1x = 0 + 22 Combine like terms: 0 + 22 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {-22, 2.5}
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