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Simplifying (7y + 5)(7y + 5) = 0 Reorder the terms: (5 + 7y)(7y + 5) = 0 Reorder the terms: (5 + 7y)(5 + 7y) = 0 Multiply (5 + 7y) * (5 + 7y) (5(5 + 7y) + 7y * (5 + 7y)) = 0 ((5 * 5 + 7y * 5) + 7y * (5 + 7y)) = 0 ((25 + 35y) + 7y * (5 + 7y)) = 0 (25 + 35y + (5 * 7y + 7y * 7y)) = 0 (25 + 35y + (35y + 49y2)) = 0 Combine like terms: 35y + 35y = 70y (25 + 70y + 49y2) = 0 Solving 25 + 70y + 49y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + 7y)(5 + 7y) = 0Subproblem 1
Set the factor '(5 + 7y)' equal to zero and attempt to solve: Simplifying 5 + 7y = 0 Solving 5 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7y = 0 + -5 7y = 0 + -5 Combine like terms: 0 + -5 = -5 7y = -5 Divide each side by '7'. y = -0.7142857143 Simplifying y = -0.7142857143Subproblem 2
Set the factor '(5 + 7y)' equal to zero and attempt to solve: Simplifying 5 + 7y = 0 Solving 5 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7y = 0 + -5 7y = 0 + -5 Combine like terms: 0 + -5 = -5 7y = -5 Divide each side by '7'. y = -0.7142857143 Simplifying y = -0.7142857143Solution
y = {-0.7142857143, -0.7142857143}
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