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Simplifying (2y + -3)(2y + -3) = 0 Reorder the terms: (-3 + 2y)(2y + -3) = 0 Reorder the terms: (-3 + 2y)(-3 + 2y) = 0 Multiply (-3 + 2y) * (-3 + 2y) (-3(-3 + 2y) + 2y * (-3 + 2y)) = 0 ((-3 * -3 + 2y * -3) + 2y * (-3 + 2y)) = 0 ((9 + -6y) + 2y * (-3 + 2y)) = 0 (9 + -6y + (-3 * 2y + 2y * 2y)) = 0 (9 + -6y + (-6y + 4y2)) = 0 Combine like terms: -6y + -6y = -12y (9 + -12y + 4y2) = 0 Solving 9 + -12y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (3 + -2y)(3 + -2y) = 0Subproblem 1
Set the factor '(3 + -2y)' equal to zero and attempt to solve: Simplifying 3 + -2y = 0 Solving 3 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 0 + -3 -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2y = -3 Divide each side by '-2'. y = 1.5 Simplifying y = 1.5Subproblem 2
Set the factor '(3 + -2y)' equal to zero and attempt to solve: Simplifying 3 + -2y = 0 Solving 3 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 0 + -3 -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2y = -3 Divide each side by '-2'. y = 1.5 Simplifying y = 1.5Solution
y = {1.5, 1.5}
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