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Simplifying (4X + 5)(X + 1) = 0 Reorder the terms: (5 + 4X)(X + 1) = 0 Reorder the terms: (5 + 4X)(1 + X) = 0 Multiply (5 + 4X) * (1 + X) (5(1 + X) + 4X * (1 + X)) = 0 ((1 * 5 + X * 5) + 4X * (1 + X)) = 0 ((5 + 5X) + 4X * (1 + X)) = 0 (5 + 5X + (1 * 4X + X * 4X)) = 0 (5 + 5X + (4X + 4X2)) = 0 Combine like terms: 5X + 4X = 9X (5 + 9X + 4X2) = 0 Solving 5 + 9X + 4X2 = 0 Solving for variable 'X'. Factor a trinomial. (5 + 4X)(1 + X) = 0Subproblem 1
Set the factor '(5 + 4X)' equal to zero and attempt to solve: Simplifying 5 + 4X = 0 Solving 5 + 4X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4X = 0 + -5 4X = 0 + -5 Combine like terms: 0 + -5 = -5 4X = -5 Divide each side by '4'. X = -1.25 Simplifying X = -1.25Subproblem 2
Set the factor '(1 + X)' equal to zero and attempt to solve: Simplifying 1 + X = 0 Solving 1 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + X = 0 + -1 X = 0 + -1 Combine like terms: 0 + -1 = -1 X = -1 Simplifying X = -1Solution
X = {-1.25, -1}
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