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Simplifying 4x2 + 17x + -50 = 0 Reorder the terms: -50 + 17x + 4x2 = 0 Solving -50 + 17x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-25 + -4x)(2 + -1x) = 0Subproblem 1
Set the factor '(-25 + -4x)' equal to zero and attempt to solve: Simplifying -25 + -4x = 0 Solving -25 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -4x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -4x = 0 + 25 -4x = 0 + 25 Combine like terms: 0 + 25 = 25 -4x = 25 Divide each side by '-4'. x = -6.25 Simplifying x = -6.25Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-6.25, 2}
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