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Simplifying (4x + -1)(6 + -5x) = 0 Reorder the terms: (-1 + 4x)(6 + -5x) = 0 Multiply (-1 + 4x) * (6 + -5x) (-1(6 + -5x) + 4x * (6 + -5x)) = 0 ((6 * -1 + -5x * -1) + 4x * (6 + -5x)) = 0 ((-6 + 5x) + 4x * (6 + -5x)) = 0 (-6 + 5x + (6 * 4x + -5x * 4x)) = 0 (-6 + 5x + (24x + -20x2)) = 0 Combine like terms: 5x + 24x = 29x (-6 + 29x + -20x2) = 0 Solving -6 + 29x + -20x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + 5x)(1 + -4x) = 0Subproblem 1
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 = 1.2Subproblem 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 = {1.2, 0.25}
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