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