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Simplifying (3y + -5)(3y + -5) = 0 Reorder the terms: (-5 + 3y)(3y + -5) = 0 Reorder the terms: (-5 + 3y)(-5 + 3y) = 0 Multiply (-5 + 3y) * (-5 + 3y) (-5(-5 + 3y) + 3y * (-5 + 3y)) = 0 ((-5 * -5 + 3y * -5) + 3y * (-5 + 3y)) = 0 ((25 + -15y) + 3y * (-5 + 3y)) = 0 (25 + -15y + (-5 * 3y + 3y * 3y)) = 0 (25 + -15y + (-15y + 9y2)) = 0 Combine like terms: -15y + -15y = -30y (25 + -30y + 9y2) = 0 Solving 25 + -30y + 9y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + -3y)(5 + -3y) = 0Subproblem 1
Set the factor '(5 + -3y)' equal to zero and attempt to solve: Simplifying 5 + -3y = 0 Solving 5 + -3y = 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 + -3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = 0 + -5 -3y = 0 + -5 Combine like terms: 0 + -5 = -5 -3y = -5 Divide each side by '-3'. y = 1.666666667 Simplifying y = 1.666666667Subproblem 2
Set the factor '(5 + -3y)' equal to zero and attempt to solve: Simplifying 5 + -3y = 0 Solving 5 + -3y = 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 + -3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = 0 + -5 -3y = 0 + -5 Combine like terms: 0 + -5 = -5 -3y = -5 Divide each side by '-3'. y = 1.666666667 Simplifying y = 1.666666667Solution
y = {1.666666667, 1.666666667}
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