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