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Simplifying (-4y2 + -6y) + (5y2 + 2y + -5) = 0 Reorder the terms: (-6y + -4y2) + (5y2 + 2y + -5) = 0 Remove parenthesis around (-6y + -4y2) -6y + -4y2 + (5y2 + 2y + -5) = 0 Reorder the terms: -6y + -4y2 + (-5 + 2y + 5y2) = 0 Remove parenthesis around (-5 + 2y + 5y2) -6y + -4y2 + -5 + 2y + 5y2 = 0 Reorder the terms: -5 + -6y + 2y + -4y2 + 5y2 = 0 Combine like terms: -6y + 2y = -4y -5 + -4y + -4y2 + 5y2 = 0 Combine like terms: -4y2 + 5y2 = 1y2 -5 + -4y + 1y2 = 0 Solving -5 + -4y + 1y2 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + -1y)(5 + -1y) = 0Subproblem 1
Set the factor '(-1 + -1y)' equal to zero and attempt to solve: Simplifying -1 + -1y = 0 Solving -1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1y = 0 + 1 -1y = 0 + 1 Combine like terms: 0 + 1 = 1 -1y = 1 Divide each side by '-1'. y = -1 Simplifying y = -1Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5Solution
y = {-1, 5}
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