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Simplifying (7x + 7)(5x + 7) = 0 Reorder the terms: (7 + 7x)(5x + 7) = 0 Reorder the terms: (7 + 7x)(7 + 5x) = 0 Multiply (7 + 7x) * (7 + 5x) (7(7 + 5x) + 7x * (7 + 5x)) = 0 ((7 * 7 + 5x * 7) + 7x * (7 + 5x)) = 0 ((49 + 35x) + 7x * (7 + 5x)) = 0 (49 + 35x + (7 * 7x + 5x * 7x)) = 0 (49 + 35x + (49x + 35x2)) = 0 Combine like terms: 35x + 49x = 84x (49 + 84x + 35x2) = 0 Solving 49 + 84x + 35x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7'. 7(7 + 12x + 5x2) = 0 Factor a trinomial. 7((7 + 5x)(1 + x)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(7 + 5x)' equal to zero and attempt to solve: Simplifying 7 + 5x = 0 Solving 7 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 0 + -7 5x = 0 + -7 Combine like terms: 0 + -7 = -7 5x = -7 Divide each side by '5'. x = -1.4 Simplifying x = -1.4Subproblem 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 = {-1.4, -1}
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