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Simplifying (5x + -2)(6x + -5) = 0 Reorder the terms: (-2 + 5x)(6x + -5) = 0 Reorder the terms: (-2 + 5x)(-5 + 6x) = 0 Multiply (-2 + 5x) * (-5 + 6x) (-2(-5 + 6x) + 5x * (-5 + 6x)) = 0 ((-5 * -2 + 6x * -2) + 5x * (-5 + 6x)) = 0 ((10 + -12x) + 5x * (-5 + 6x)) = 0 (10 + -12x + (-5 * 5x + 6x * 5x)) = 0 (10 + -12x + (-25x + 30x2)) = 0 Combine like terms: -12x + -25x = -37x (10 + -37x + 30x2) = 0 Solving 10 + -37x + 30x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -5x)(5 + -6x) = 0Subproblem 1
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 = 0.4Subproblem 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 = {0.4, 0.8333333333}
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