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Simplifying x2 + 29x + 10 = 180 Reorder the terms: 10 + 29x + x2 = 180 Solving 10 + 29x + x2 = 180 Solving for variable 'x'. Reorder the terms: 10 + -180 + 29x + x2 = 180 + -180 Combine like terms: 10 + -180 = -170 -170 + 29x + x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -170 + 29x + x2 = 0 Factor a trinomial. (-34 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(-34 + -1x)' equal to zero and attempt to solve: Simplifying -34 + -1x = 0 Solving -34 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + -1x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + -1x = 0 + 34 -1x = 0 + 34 Combine like terms: 0 + 34 = 34 -1x = 34 Divide each side by '-1'. x = -34 Simplifying x = -34Subproblem 2
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 = 5Solution
x = {-34, 5}
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