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Simplifying 5(x + 7)(x + 7) = 0 Reorder the terms: 5(7 + x)(x + 7) = 0 Reorder the terms: 5(7 + x)(7 + x) = 0 Multiply (7 + x) * (7 + x) 5(7(7 + x) + x(7 + x)) = 0 5((7 * 7 + x * 7) + x(7 + x)) = 0 5((49 + 7x) + x(7 + x)) = 0 5(49 + 7x + (7 * x + x * x)) = 0 5(49 + 7x + (7x + x2)) = 0 Combine like terms: 7x + 7x = 14x 5(49 + 14x + x2) = 0 (49 * 5 + 14x * 5 + x2 * 5) = 0 (245 + 70x + 5x2) = 0 Solving 245 + 70x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(49 + 14x + x2) = 0 Factor a trinomial. 5((7 + x)(7 + x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {-7, -7}
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