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Simplifying (5x + 7)(5x + 7) = 0 Reorder the terms: (7 + 5x)(5x + 7) = 0 Reorder the terms: (7 + 5x)(7 + 5x) = 0 Multiply (7 + 5x) * (7 + 5x) (7(7 + 5x) + 5x * (7 + 5x)) = 0 ((7 * 7 + 5x * 7) + 5x * (7 + 5x)) = 0 ((49 + 35x) + 5x * (7 + 5x)) = 0 (49 + 35x + (7 * 5x + 5x * 5x)) = 0 (49 + 35x + (35x + 25x2)) = 0 Combine like terms: 35x + 35x = 70x (49 + 70x + 25x2) = 0 Solving 49 + 70x + 25x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + 5x)(7 + 5x) = 0Subproblem 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 '(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 = -1.4Solution
x = {-1.4, -1.4}
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