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Simplifying (1 + -4x)(6x + -5) = 0 Reorder the terms: (1 + -4x)(-5 + 6x) = 0 Multiply (1 + -4x) * (-5 + 6x) (1(-5 + 6x) + -4x * (-5 + 6x)) = 0 ((-5 * 1 + 6x * 1) + -4x * (-5 + 6x)) = 0 ((-5 + 6x) + -4x * (-5 + 6x)) = 0 (-5 + 6x + (-5 * -4x + 6x * -4x)) = 0 (-5 + 6x + (20x + -24x2)) = 0 Combine like terms: 6x + 20x = 26x (-5 + 26x + -24x2) = 0 Solving -5 + 26x + -24x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + 6x)(1 + -4x) = 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 '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {0.8333333333, 0.25}
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