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Simplifying (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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