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Simplifying (5x + -6)(2x + -1) = 0 Reorder the terms: (-6 + 5x)(2x + -1) = 0 Reorder the terms: (-6 + 5x)(-1 + 2x) = 0 Multiply (-6 + 5x) * (-1 + 2x) (-6(-1 + 2x) + 5x * (-1 + 2x)) = 0 ((-1 * -6 + 2x * -6) + 5x * (-1 + 2x)) = 0 ((6 + -12x) + 5x * (-1 + 2x)) = 0 (6 + -12x + (-1 * 5x + 2x * 5x)) = 0 (6 + -12x + (-5x + 10x2)) = 0 Combine like terms: -12x + -5x = -17x (6 + -17x + 10x2) = 0 Solving 6 + -17x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -2x)(6 + -5x) = 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 '(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 = 1.2Solution
x = {0.5, 1.2}
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