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Simplifying (y + 7)(y + -3) = 0 Reorder the terms: (7 + y)(y + -3) = 0 Reorder the terms: (7 + y)(-3 + y) = 0 Multiply (7 + y) * (-3 + y) (7(-3 + y) + y(-3 + y)) = 0 ((-3 * 7 + y * 7) + y(-3 + y)) = 0 ((-21 + 7y) + y(-3 + y)) = 0 (-21 + 7y + (-3 * y + y * y)) = 0 (-21 + 7y + (-3y + y2)) = 0 Combine like terms: 7y + -3y = 4y (-21 + 4y + y2) = 0 Solving -21 + 4y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (-7 + -1y)(3 + -1y) = 0Subproblem 1
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 = -7Subproblem 2
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 = 3Solution
y = {-7, 3}
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