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Simplifying 250 = 3x2 + -5x Reorder the terms: 250 = -5x + 3x2 Solving 250 = -5x + 3x2 Solving for variable 'x'. Reorder the terms: 250 + 5x + -3x2 = -5x + 5x + 3x2 + -3x2 Combine like terms: -5x + 5x = 0 250 + 5x + -3x2 = 0 + 3x2 + -3x2 250 + 5x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 250 + 5x + -3x2 = 0 Factor a trinomial. (10 + -1x)(25 + 3x) = 0Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 2
Set the factor '(25 + 3x)' equal to zero and attempt to solve: Simplifying 25 + 3x = 0 Solving 25 + 3x = 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 + 3x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 3x = 0 + -25 3x = 0 + -25 Combine like terms: 0 + -25 = -25 3x = -25 Divide each side by '3'. x = -8.333333333 Simplifying x = -8.333333333Solution
x = {10, -8.333333333}
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