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Simplifying 11x2 + -504x + -1152 = 0 Reorder the terms: -1152 + -504x + 11x2 = 0 Solving -1152 + -504x + 11x2 = 0 Solving for variable 'x'. Factor a trinomial. (-24 + -11x)(48 + -1x) = 0Subproblem 1
Set the factor '(-24 + -11x)' equal to zero and attempt to solve: Simplifying -24 + -11x = 0 Solving -24 + -11x = 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 + -11x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -11x = 0 + 24 -11x = 0 + 24 Combine like terms: 0 + 24 = 24 -11x = 24 Divide each side by '-11'. x = -2.181818182 Simplifying x = -2.181818182Subproblem 2
Set the factor '(48 + -1x)' equal to zero and attempt to solve: Simplifying 48 + -1x = 0 Solving 48 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -1x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -1x = 0 + -48 -1x = 0 + -48 Combine like terms: 0 + -48 = -48 -1x = -48 Divide each side by '-1'. x = 48 Simplifying x = 48Solution
x = {-2.181818182, 48}
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