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Simplifying (5x + 5)(3x + 4) = 0 Reorder the terms: (5 + 5x)(3x + 4) = 0 Reorder the terms: (5 + 5x)(4 + 3x) = 0 Multiply (5 + 5x) * (4 + 3x) (5(4 + 3x) + 5x * (4 + 3x)) = 0 ((4 * 5 + 3x * 5) + 5x * (4 + 3x)) = 0 ((20 + 15x) + 5x * (4 + 3x)) = 0 (20 + 15x + (4 * 5x + 3x * 5x)) = 0 (20 + 15x + (20x + 15x2)) = 0 Combine like terms: 15x + 20x = 35x (20 + 35x + 15x2) = 0 Solving 20 + 35x + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(4 + 7x + 3x2) = 0 Factor a trinomial. 5((4 + 3x)(1 + x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 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 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 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 = {-1.333333333, -1}
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