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Simplifying (2x + 5)(x) = 250 Reorder the terms: (5 + 2x)(x) = 250 Reorder the terms for easier multiplication: x(5 + 2x) = 250 (5 * x + 2x * x) = 250 (5x + 2x2) = 250 Solving 5x + 2x2 = 250 Solving for variable 'x'. Reorder the terms: -250 + 5x + 2x2 = 250 + -250 Combine like terms: 250 + -250 = 0 -250 + 5x + 2x2 = 0 Factor a trinomial. (-25 + -2x)(10 + -1x) = 0Subproblem 1
Set the factor '(-25 + -2x)' equal to zero and attempt to solve: Simplifying -25 + -2x = 0 Solving -25 + -2x = 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 + -2x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -2x = 0 + 25 -2x = 0 + 25 Combine like terms: 0 + 25 = 25 -2x = 25 Divide each side by '-2'. x = -12.5 Simplifying x = -12.5Subproblem 2
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 = 10Solution
x = {-12.5, 10}
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