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Simplifying x(7x + 25) = 2x2 + -9x + 48 Reorder the terms: x(25 + 7x) = 2x2 + -9x + 48 (25 * x + 7x * x) = 2x2 + -9x + 48 (25x + 7x2) = 2x2 + -9x + 48 Reorder the terms: 25x + 7x2 = 48 + -9x + 2x2 Solving 25x + 7x2 = 48 + -9x + 2x2 Solving for variable 'x'. Reorder the terms: -48 + 25x + 9x + 7x2 + -2x2 = 48 + -9x + 2x2 + -48 + 9x + -2x2 Combine like terms: 25x + 9x = 34x -48 + 34x + 7x2 + -2x2 = 48 + -9x + 2x2 + -48 + 9x + -2x2 Combine like terms: 7x2 + -2x2 = 5x2 -48 + 34x + 5x2 = 48 + -9x + 2x2 + -48 + 9x + -2x2 Reorder the terms: -48 + 34x + 5x2 = 48 + -48 + -9x + 9x + 2x2 + -2x2 Combine like terms: 48 + -48 = 0 -48 + 34x + 5x2 = 0 + -9x + 9x + 2x2 + -2x2 -48 + 34x + 5x2 = -9x + 9x + 2x2 + -2x2 Combine like terms: -9x + 9x = 0 -48 + 34x + 5x2 = 0 + 2x2 + -2x2 -48 + 34x + 5x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -48 + 34x + 5x2 = 0 Factor a trinomial. (-8 + -1x)(6 + -5x) = 0Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Solution
x = {-8, 1.2}
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