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Simplifying (x + -24)(5x + -1) = 0 Reorder the terms: (-24 + x)(5x + -1) = 0 Reorder the terms: (-24 + x)(-1 + 5x) = 0 Multiply (-24 + x) * (-1 + 5x) (-24(-1 + 5x) + x(-1 + 5x)) = 0 ((-1 * -24 + 5x * -24) + x(-1 + 5x)) = 0 ((24 + -120x) + x(-1 + 5x)) = 0 (24 + -120x + (-1 * x + 5x * x)) = 0 (24 + -120x + (-1x + 5x2)) = 0 Combine like terms: -120x + -1x = -121x (24 + -121x + 5x2) = 0 Solving 24 + -121x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -5x)(24 + -1x) = 0Subproblem 1
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Subproblem 2
Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 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 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24Solution
x = {0.2, 24}
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