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Simplifying 5x(5x + 6) = 27 Reorder the terms: 5x(6 + 5x) = 27 (6 * 5x + 5x * 5x) = 27 (30x + 25x2) = 27 Solving 30x + 25x2 = 27 Solving for variable 'x'. Reorder the terms: -27 + 30x + 25x2 = 27 + -27 Combine like terms: 27 + -27 = 0 -27 + 30x + 25x2 = 0 Factor a trinomial. (-9 + -5x)(3 + -5x) = 0Subproblem 1
Set the factor '(-9 + -5x)' equal to zero and attempt to solve: Simplifying -9 + -5x = 0 Solving -9 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -5x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = 0 + 9 -5x = 0 + 9 Combine like terms: 0 + 9 = 9 -5x = 9 Divide each side by '-5'. x = -1.8 Simplifying x = -1.8Subproblem 2
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Solution
x = {-1.8, 0.6}
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