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Simplifying (y + -3)(y + -3) = 4y + -12 Reorder the terms: (-3 + y)(y + -3) = 4y + -12 Reorder the terms: (-3 + y)(-3 + y) = 4y + -12 Multiply (-3 + y) * (-3 + y) (-3(-3 + y) + y(-3 + y)) = 4y + -12 ((-3 * -3 + y * -3) + y(-3 + y)) = 4y + -12 ((9 + -3y) + y(-3 + y)) = 4y + -12 (9 + -3y + (-3 * y + y * y)) = 4y + -12 (9 + -3y + (-3y + y2)) = 4y + -12 Combine like terms: -3y + -3y = -6y (9 + -6y + y2) = 4y + -12 Reorder the terms: 9 + -6y + y2 = -12 + 4y Solving 9 + -6y + y2 = -12 + 4y Solving for variable 'y'. Reorder the terms: 9 + 12 + -6y + -4y + y2 = -12 + 4y + 12 + -4y Combine like terms: 9 + 12 = 21 21 + -6y + -4y + y2 = -12 + 4y + 12 + -4y Combine like terms: -6y + -4y = -10y 21 + -10y + y2 = -12 + 4y + 12 + -4y Reorder the terms: 21 + -10y + y2 = -12 + 12 + 4y + -4y Combine like terms: -12 + 12 = 0 21 + -10y + y2 = 0 + 4y + -4y 21 + -10y + y2 = 4y + -4y Combine like terms: 4y + -4y = 0 21 + -10y + y2 = 0 Factor a trinomial. (3 + -1y)(7 + -1y) = 0Subproblem 1
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 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 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve: Simplifying 7 + -1y = 0 Solving 7 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7Solution
y = {3, 7}
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