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Simplifying 4x(x + 6) + -5(x + 6) = 0 Reorder the terms: 4x(6 + x) + -5(x + 6) = 0 (6 * 4x + x * 4x) + -5(x + 6) = 0 (24x + 4x2) + -5(x + 6) = 0 Reorder the terms: 24x + 4x2 + -5(6 + x) = 0 24x + 4x2 + (6 * -5 + x * -5) = 0 24x + 4x2 + (-30 + -5x) = 0 Reorder the terms: -30 + 24x + -5x + 4x2 = 0 Combine like terms: 24x + -5x = 19x -30 + 19x + 4x2 = 0 Solving -30 + 19x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -1x)(5 + -4x) = 0Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 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 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 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 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Solution
x = {-6, 1.25}
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