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Simplifying 6x(2x + -3) + -5(2x + -3) = 0 Reorder the terms: 6x(-3 + 2x) + -5(2x + -3) = 0 (-3 * 6x + 2x * 6x) + -5(2x + -3) = 0 (-18x + 12x2) + -5(2x + -3) = 0 Reorder the terms: -18x + 12x2 + -5(-3 + 2x) = 0 -18x + 12x2 + (-3 * -5 + 2x * -5) = 0 -18x + 12x2 + (15 + -10x) = 0 Reorder the terms: 15 + -18x + -10x + 12x2 = 0 Combine like terms: -18x + -10x = -28x 15 + -28x + 12x2 = 0 Solving 15 + -28x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -6x)(3 + -2x) = 0Subproblem 1
Set the factor '(5 + -6x)' equal to zero and attempt to solve: Simplifying 5 + -6x = 0 Solving 5 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 0 + -5 -6x = 0 + -5 Combine like terms: 0 + -5 = -5 -6x = -5 Divide each side by '-6'. x = 0.8333333333 Simplifying x = 0.8333333333Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {0.8333333333, 1.5}
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