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Simplifying 2x2 + 29x + -6000 = 0 Reorder the terms: -6000 + 29x + 2x2 = 0 Solving -6000 + 29x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-125 + -2x)(48 + -1x) = 0Subproblem 1
Set the factor '(-125 + -2x)' equal to zero and attempt to solve: Simplifying -125 + -2x = 0 Solving -125 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + -2x = 0 + 125 Combine like terms: -125 + 125 = 0 0 + -2x = 0 + 125 -2x = 0 + 125 Combine like terms: 0 + 125 = 125 -2x = 125 Divide each side by '-2'. x = -62.5 Simplifying x = -62.5Subproblem 2
Set the factor '(48 + -1x)' equal to zero and attempt to solve: Simplifying 48 + -1x = 0 Solving 48 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -1x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -1x = 0 + -48 -1x = 0 + -48 Combine like terms: 0 + -48 = -48 -1x = -48 Divide each side by '-1'. x = 48 Simplifying x = 48Solution
x = {-62.5, 48}
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