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Simplifying x2 + 50x + -61875 = 0 Reorder the terms: -61875 + 50x + x2 = 0 Solving -61875 + 50x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-275 + -1x)(225 + -1x) = 0Subproblem 1
Set the factor '(-275 + -1x)' equal to zero and attempt to solve: Simplifying -275 + -1x = 0 Solving -275 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '275' to each side of the equation. -275 + 275 + -1x = 0 + 275 Combine like terms: -275 + 275 = 0 0 + -1x = 0 + 275 -1x = 0 + 275 Combine like terms: 0 + 275 = 275 -1x = 275 Divide each side by '-1'. x = -275 Simplifying x = -275Subproblem 2
Set the factor '(225 + -1x)' equal to zero and attempt to solve: Simplifying 225 + -1x = 0 Solving 225 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-225' to each side of the equation. 225 + -225 + -1x = 0 + -225 Combine like terms: 225 + -225 = 0 0 + -1x = 0 + -225 -1x = 0 + -225 Combine like terms: 0 + -225 = -225 -1x = -225 Divide each side by '-1'. x = 225 Simplifying x = 225Solution
x = {-275, 225}
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