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Simplifying 5(x2) + 12x + -44 = 0 Reorder the terms: -44 + 12x + 5x2 = 0 Solving -44 + 12x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-22 + -5x)(2 + -1x) = 0Subproblem 1
Set the factor '(-22 + -5x)' equal to zero and attempt to solve: Simplifying -22 + -5x = 0 Solving -22 + -5x = 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 + -5x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -5x = 0 + 22 -5x = 0 + 22 Combine like terms: 0 + 22 = 22 -5x = 22 Divide each side by '-5'. x = -4.4 Simplifying x = -4.4Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-4.4, 2}
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