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Simplifying 6x2 + -155x + -1500 = 0 Reorder the terms: -1500 + -155x + 6x2 = 0 Solving -1500 + -155x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (-15 + -2x)(100 + -3x) = 0Subproblem 1
Set the factor '(-15 + -2x)' equal to zero and attempt to solve: Simplifying -15 + -2x = 0 Solving -15 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -2x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = 0 + 15 -2x = 0 + 15 Combine like terms: 0 + 15 = 15 -2x = 15 Divide each side by '-2'. x = -7.5 Simplifying x = -7.5Subproblem 2
Set the factor '(100 + -3x)' equal to zero and attempt to solve: Simplifying 100 + -3x = 0 Solving 100 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -3x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -3x = 0 + -100 -3x = 0 + -100 Combine like terms: 0 + -100 = -100 -3x = -100 Divide each side by '-3'. x = 33.33333333 Simplifying x = 33.33333333Solution
x = {-7.5, 33.33333333}
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