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Simplifying 2x2 + 115x + -300 = 0 Reorder the terms: -300 + 115x + 2x2 = 0 Solving -300 + 115x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-60 + -1x)(5 + -2x) = 0Subproblem 1
Set the factor '(-60 + -1x)' equal to zero and attempt to solve: Simplifying -60 + -1x = 0 Solving -60 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + -1x = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -1x = 0 + 60 -1x = 0 + 60 Combine like terms: 0 + 60 = 60 -1x = 60 Divide each side by '-1'. x = -60 Simplifying x = -60Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {-60, 2.5}
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