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Simplifying 5x(5x + 3) = 18 Reorder the terms: 5x(3 + 5x) = 18 (3 * 5x + 5x * 5x) = 18 (15x + 25x2) = 18 Solving 15x + 25x2 = 18 Solving for variable 'x'. Reorder the terms: -18 + 15x + 25x2 = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + 15x + 25x2 = 0 Factor a trinomial. (-6 + -5x)(3 + -5x) = 0Subproblem 1
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 = -1.2Subproblem 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 = {-1.2, 0.6}
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