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Simplifying 13x2 + -360x + -900 = 0 Reorder the terms: -900 + -360x + 13x2 = 0 Solving -900 + -360x + 13x2 = 0 Solving for variable 'x'. Factor a trinomial. (-30 + -13x)(30 + -1x) = 0Subproblem 1
Set the factor '(-30 + -13x)' equal to zero and attempt to solve: Simplifying -30 + -13x = 0 Solving -30 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -13x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -13x = 0 + 30 -13x = 0 + 30 Combine like terms: 0 + 30 = 30 -13x = 30 Divide each side by '-13'. x = -2.307692308 Simplifying x = -2.307692308Subproblem 2
Set the factor '(30 + -1x)' equal to zero and attempt to solve: Simplifying 30 + -1x = 0 Solving 30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30Solution
x = {-2.307692308, 30}
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