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Simplifying x2 + 34 + 6x + 4 + 10x + 10 = 180 Reorder the terms: 34 + 4 + 10 + 6x + 10x + x2 = 180 Combine like terms: 34 + 4 = 38 38 + 10 + 6x + 10x + x2 = 180 Combine like terms: 38 + 10 = 48 48 + 6x + 10x + x2 = 180 Combine like terms: 6x + 10x = 16x 48 + 16x + x2 = 180 Solving 48 + 16x + x2 = 180 Solving for variable 'x'. Reorder the terms: 48 + -180 + 16x + x2 = 180 + -180 Combine like terms: 48 + -180 = -132 -132 + 16x + x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -132 + 16x + x2 = 0 Factor a trinomial. (-22 + -1x)(6 + -1x) = 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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-22, 6}
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