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Simplifying 5x(5x + 7) = 18 Reorder the terms: 5x(7 + 5x) = 18 (7 * 5x + 5x * 5x) = 18 (35x + 25x2) = 18 Solving 35x + 25x2 = 18 Solving for variable 'x'. Reorder the terms: -18 + 35x + 25x2 = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + 35x + 25x2 = 0 Factor a trinomial. (-9 + -5x)(2 + -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 '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Solution
x = {-1.8, 0.4}
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