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Simplifying 5X2 + 44X + 32 = 0 Reorder the terms: 32 + 44X + 5X2 = 0 Solving 32 + 44X + 5X2 = 0 Solving for variable 'X'. Factor a trinomial. (8 + X)(4 + 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 '(4 + 5X)' equal to zero and attempt to solve: Simplifying 4 + 5X = 0 Solving 4 + 5X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5X = 0 + -4 5X = 0 + -4 Combine like terms: 0 + -4 = -4 5X = -4 Divide each side by '5'. X = -0.8 Simplifying X = -0.8Solution
X = {-8, -0.8}
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