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Simplifying (9y + -5)(9y + -5) = 0 Reorder the terms: (-5 + 9y)(9y + -5) = 0 Reorder the terms: (-5 + 9y)(-5 + 9y) = 0 Multiply (-5 + 9y) * (-5 + 9y) (-5(-5 + 9y) + 9y * (-5 + 9y)) = 0 ((-5 * -5 + 9y * -5) + 9y * (-5 + 9y)) = 0 ((25 + -45y) + 9y * (-5 + 9y)) = 0 (25 + -45y + (-5 * 9y + 9y * 9y)) = 0 (25 + -45y + (-45y + 81y2)) = 0 Combine like terms: -45y + -45y = -90y (25 + -90y + 81y2) = 0 Solving 25 + -90y + 81y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + -9y)(5 + -9y) = 0Subproblem 1
Set the factor '(5 + -9y)' equal to zero and attempt to solve: Simplifying 5 + -9y = 0 Solving 5 + -9y = 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 + -9y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9y = 0 + -5 -9y = 0 + -5 Combine like terms: 0 + -5 = -5 -9y = -5 Divide each side by '-9'. y = 0.5555555556 Simplifying y = 0.5555555556Subproblem 2
Set the factor '(5 + -9y)' equal to zero and attempt to solve: Simplifying 5 + -9y = 0 Solving 5 + -9y = 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 + -9y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9y = 0 + -5 -9y = 0 + -5 Combine like terms: 0 + -5 = -5 -9y = -5 Divide each side by '-9'. y = 0.5555555556 Simplifying y = 0.5555555556Solution
y = {0.5555555556, 0.5555555556}
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