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Simplifying (-24 + -5x)(3 + -1x) = 0 Multiply (-24 + -5x) * (3 + -1x) (-24(3 + -1x) + -5x * (3 + -1x)) = 0 ((3 * -24 + -1x * -24) + -5x * (3 + -1x)) = 0 ((-72 + 24x) + -5x * (3 + -1x)) = 0 (-72 + 24x + (3 * -5x + -1x * -5x)) = 0 (-72 + 24x + (-15x + 5x2)) = 0 Combine like terms: 24x + -15x = 9x (-72 + 9x + 5x2) = 0 Solving -72 + 9x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-24 + -5x)(3 + -1x) = 0Subproblem 1
Set the factor '(-24 + -5x)' equal to zero and attempt to solve: Simplifying -24 + -5x = 0 Solving -24 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -5x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -5x = 0 + 24 -5x = 0 + 24 Combine like terms: 0 + 24 = 24 -5x = 24 Divide each side by '-5'. x = -4.8 Simplifying x = -4.8Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-4.8, 3}
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