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Simplifying (5x + -6)(x + -4) = 0 Reorder the terms: (-6 + 5x)(x + -4) = 0 Reorder the terms: (-6 + 5x)(-4 + x) = 0 Multiply (-6 + 5x) * (-4 + x) (-6(-4 + x) + 5x * (-4 + x)) = 0 ((-4 * -6 + x * -6) + 5x * (-4 + x)) = 0 ((24 + -6x) + 5x * (-4 + x)) = 0 (24 + -6x + (-4 * 5x + x * 5x)) = 0 (24 + -6x + (-20x + 5x2)) = 0 Combine like terms: -6x + -20x = -26x (24 + -26x + 5x2) = 0 Solving 24 + -26x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + -5x)(4 + -1x) = 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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {1.2, 4}
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