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Simplifying 9 = 4y + -1y(y + -2) Reorder the terms: 9 = 4y + -1y(-2 + y) 9 = 4y + (-2 * -1y + y * -1y) 9 = 4y + (2y + -1y2) Combine like terms: 4y + 2y = 6y 9 = 6y + -1y2 Solving 9 = 6y + -1y2 Solving for variable 'y'. Reorder the terms: 9 + -6y + y2 = 6y + -6y + -1y2 + y2 Combine like terms: 6y + -6y = 0 9 + -6y + y2 = 0 + -1y2 + y2 9 + -6y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 9 + -6y + y2 = 0 Factor a trinomial. (3 + -1y)(3 + -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 '(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 = {3, 3}
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