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Simplifying (2y + -5)(2y + -5) = 0 Reorder the terms: (-5 + 2y)(2y + -5) = 0 Reorder the terms: (-5 + 2y)(-5 + 2y) = 0 Multiply (-5 + 2y) * (-5 + 2y) (-5(-5 + 2y) + 2y * (-5 + 2y)) = 0 ((-5 * -5 + 2y * -5) + 2y * (-5 + 2y)) = 0 ((25 + -10y) + 2y * (-5 + 2y)) = 0 (25 + -10y + (-5 * 2y + 2y * 2y)) = 0 (25 + -10y + (-10y + 4y2)) = 0 Combine like terms: -10y + -10y = -20y (25 + -20y + 4y2) = 0 Solving 25 + -20y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + -2y)(5 + -2y) = 0Subproblem 1
Set the factor '(5 + -2y)' equal to zero and attempt to solve: Simplifying 5 + -2y = 0 Solving 5 + -2y = 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 + -2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 0 + -5 -2y = 0 + -5 Combine like terms: 0 + -5 = -5 -2y = -5 Divide each side by '-2'. y = 2.5 Simplifying y = 2.5Subproblem 2
Set the factor '(5 + -2y)' equal to zero and attempt to solve: Simplifying 5 + -2y = 0 Solving 5 + -2y = 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 + -2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 0 + -5 -2y = 0 + -5 Combine like terms: 0 + -5 = -5 -2y = -5 Divide each side by '-2'. y = 2.5 Simplifying y = 2.5Solution
y = {2.5, 2.5}
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