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Simplifying (6x + -5)(2x + -1) = 0 Reorder the terms: (-5 + 6x)(2x + -1) = 0 Reorder the terms: (-5 + 6x)(-1 + 2x) = 0 Multiply (-5 + 6x) * (-1 + 2x) (-5(-1 + 2x) + 6x * (-1 + 2x)) = 0 ((-1 * -5 + 2x * -5) + 6x * (-1 + 2x)) = 0 ((5 + -10x) + 6x * (-1 + 2x)) = 0 (5 + -10x + (-1 * 6x + 2x * 6x)) = 0 (5 + -10x + (-6x + 12x2)) = 0 Combine like terms: -10x + -6x = -16x (5 + -16x + 12x2) = 0 Solving 5 + -16x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -2x)(5 + -6x) = 0Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 2
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 = 0.8333333333Solution
x = {0.5, 0.8333333333}
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