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Simplifying 13x2 + -7x + -180 = 0 Reorder the terms: -180 + -7x + 13x2 = 0 Solving -180 + -7x + 13x2 = 0 Solving for variable 'x'. Factor a trinomial. (-45 + -13x)(4 + -1x) = 0Subproblem 1
Set the factor '(-45 + -13x)' equal to zero and attempt to solve: Simplifying -45 + -13x = 0 Solving -45 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -13x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -13x = 0 + 45 -13x = 0 + 45 Combine like terms: 0 + 45 = 45 -13x = 45 Divide each side by '-13'. x = -3.461538462 Simplifying x = -3.461538462Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-3.461538462, 4}
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