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Simplifying 5x2 + -48x + 108 = 0 Reorder the terms: 108 + -48x + 5x2 = 0 Solving 108 + -48x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (18 + -5x)(6 + -1x) = 0Subproblem 1
Set the factor '(18 + -5x)' equal to zero and attempt to solve: Simplifying 18 + -5x = 0 Solving 18 + -5x = 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 + -5x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -5x = 0 + -18 -5x = 0 + -18 Combine like terms: 0 + -18 = -18 -5x = -18 Divide each side by '-5'. x = 3.6 Simplifying x = 3.6Subproblem 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 = {3.6, 6}
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