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Simplifying 4x2 + 43x + -600 = 0 Reorder the terms: -600 + 43x + 4x2 = 0 Solving -600 + 43x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-75 + -4x)(8 + -1x) = 0Subproblem 1
Set the factor '(-75 + -4x)' equal to zero and attempt to solve: Simplifying -75 + -4x = 0 Solving -75 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + -4x = 0 + 75 Combine like terms: -75 + 75 = 0 0 + -4x = 0 + 75 -4x = 0 + 75 Combine like terms: 0 + 75 = 75 -4x = 75 Divide each side by '-4'. x = -18.75 Simplifying x = -18.75Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-18.75, 8}
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