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Simplifying 2x(4x + 15) = -25 Reorder the terms: 2x(15 + 4x) = -25 (15 * 2x + 4x * 2x) = -25 (30x + 8x2) = -25 Solving 30x + 8x2 = -25 Solving for variable 'x'. Reorder the terms: 25 + 30x + 8x2 = -25 + 25 Combine like terms: -25 + 25 = 0 25 + 30x + 8x2 = 0 Factor a trinomial. (5 + 2x)(5 + 4x) = 0Subproblem 1
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Subproblem 2
Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25Solution
x = {-2.5, -1.25}
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