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Simplifying 5x2 + -48x + -756 = 0 Reorder the terms: -756 + -48x + 5x2 = 0 Solving -756 + -48x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-42 + -5x)(18 + -1x) = 0Subproblem 1
Set the factor '(-42 + -5x)' equal to zero and attempt to solve: Simplifying -42 + -5x = 0 Solving -42 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -5x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -5x = 0 + 42 -5x = 0 + 42 Combine like terms: 0 + 42 = 42 -5x = 42 Divide each side by '-5'. x = -8.4 Simplifying x = -8.4Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Solution
x = {-8.4, 18}
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