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Simplifying 5x(5x + 4) = 12 Reorder the terms: 5x(4 + 5x) = 12 (4 * 5x + 5x * 5x) = 12 (20x + 25x2) = 12 Solving 20x + 25x2 = 12 Solving for variable 'x'. Reorder the terms: -12 + 20x + 25x2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 20x + 25x2 = 0 Factor a trinomial. (-6 + -5x)(2 + -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 '(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 = {-1.2, 0.4}
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