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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. (8 + X)(6 + 5X) = 0Subproblem 1
Set the factor '(8 + X)' equal to zero and attempt to solve: Simplifying 8 + X = 0 Solving 8 + X = 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 + X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + X = 0 + -8 X = 0 + -8 Combine like terms: 0 + -8 = -8 X = -8 Simplifying X = -8Subproblem 2
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 = -1.2Solution
X = {-8, -1.2}
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