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Simplifying (5y + 2)(5y + 2) = 0 Reorder the terms: (2 + 5y)(5y + 2) = 0 Reorder the terms: (2 + 5y)(2 + 5y) = 0 Multiply (2 + 5y) * (2 + 5y) (2(2 + 5y) + 5y * (2 + 5y)) = 0 ((2 * 2 + 5y * 2) + 5y * (2 + 5y)) = 0 ((4 + 10y) + 5y * (2 + 5y)) = 0 (4 + 10y + (2 * 5y + 5y * 5y)) = 0 (4 + 10y + (10y + 25y2)) = 0 Combine like terms: 10y + 10y = 20y (4 + 20y + 25y2) = 0 Solving 4 + 20y + 25y2 = 0 Solving for variable 'y'. Factor a trinomial. (2 + 5y)(2 + 5y) = 0Subproblem 1
Set the factor '(2 + 5y)' equal to zero and attempt to solve: Simplifying 2 + 5y = 0 Solving 2 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5y = 0 + -2 5y = 0 + -2 Combine like terms: 0 + -2 = -2 5y = -2 Divide each side by '5'. y = -0.4 Simplifying y = -0.4Subproblem 2
Set the factor '(2 + 5y)' equal to zero and attempt to solve: Simplifying 2 + 5y = 0 Solving 2 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5y = 0 + -2 5y = 0 + -2 Combine like terms: 0 + -2 = -2 5y = -2 Divide each side by '5'. y = -0.4 Simplifying y = -0.4Solution
y = {-0.4, -0.4}
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