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Simplifying 5X2 + -46X + 48 = 0 Reorder the terms: 48 + -46X + 5X2 = 0 Solving 48 + -46X + 5X2 = 0 Solving for variable 'X'. Factor a trinomial. (6 + -5X)(8 + -1X) = 0Subproblem 1
Set the factor '(6 + -5X)' equal to zero and attempt to solve: Simplifying 6 + -5X = 0 Solving 6 + -5X = 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 + -5X = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5X = 0 + -6 -5X = 0 + -6 Combine like terms: 0 + -6 = -6 -5X = -6 Divide each side by '-5'. X = 1.2 Simplifying X = 1.2Subproblem 2
Set the factor '(8 + -1X)' equal to zero and attempt to solve: Simplifying 8 + -1X = 0 Solving 8 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1X = 0 + -8 -1X = 0 + -8 Combine like terms: 0 + -8 = -8 -1X = -8 Divide each side by '-1'. X = 8 Simplifying X = 8Solution
X = {1.2, 8}
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