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Simplifying x2 + 25x + -9350 = 0 Reorder the terms: -9350 + 25x + x2 = 0 Solving -9350 + 25x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-110 + -1x)(85 + -1x) = 0Subproblem 1
Set the factor '(-110 + -1x)' equal to zero and attempt to solve: Simplifying -110 + -1x = 0 Solving -110 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '110' to each side of the equation. -110 + 110 + -1x = 0 + 110 Combine like terms: -110 + 110 = 0 0 + -1x = 0 + 110 -1x = 0 + 110 Combine like terms: 0 + 110 = 110 -1x = 110 Divide each side by '-1'. x = -110 Simplifying x = -110Subproblem 2
Set the factor '(85 + -1x)' equal to zero and attempt to solve: Simplifying 85 + -1x = 0 Solving 85 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-85' to each side of the equation. 85 + -85 + -1x = 0 + -85 Combine like terms: 85 + -85 = 0 0 + -1x = 0 + -85 -1x = 0 + -85 Combine like terms: 0 + -85 = -85 -1x = -85 Divide each side by '-1'. x = 85 Simplifying x = 85Solution
x = {-110, 85}
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