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Simplifying 5(x2) + -6x + -144 = 0 Reorder the terms: -144 + -6x + 5x2 = 0 Solving -144 + -6x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-24 + -5x)(6 + -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 '(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 = 6Solution
x = {-4.8, 6}
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