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Simplifying (4 + -1x)(5x + 6) = 0 Reorder the terms: (4 + -1x)(6 + 5x) = 0 Multiply (4 + -1x) * (6 + 5x) (4(6 + 5x) + -1x * (6 + 5x)) = 0 ((6 * 4 + 5x * 4) + -1x * (6 + 5x)) = 0 ((24 + 20x) + -1x * (6 + 5x)) = 0 (24 + 20x + (6 * -1x + 5x * -1x)) = 0 (24 + 20x + (-6x + -5x2)) = 0 Combine like terms: 20x + -6x = 14x (24 + 14x + -5x2) = 0 Solving 24 + 14x + -5x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -1x)(6 + 5x) = 0Subproblem 1
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 = 4Subproblem 2
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 = -1.2Solution
x = {4, -1.2}
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