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Simplifying (9y2 + 2y + -4) + -1(7y2 + 3y + 6) = 0 Reorder the terms: (-4 + 2y + 9y2) + -1(7y2 + 3y + 6) = 0 Remove parenthesis around (-4 + 2y + 9y2) -4 + 2y + 9y2 + -1(7y2 + 3y + 6) = 0 Reorder the terms: -4 + 2y + 9y2 + -1(6 + 3y + 7y2) = 0 -4 + 2y + 9y2 + (6 * -1 + 3y * -1 + 7y2 * -1) = 0 -4 + 2y + 9y2 + (-6 + -3y + -7y2) = 0 Reorder the terms: -4 + -6 + 2y + -3y + 9y2 + -7y2 = 0 Combine like terms: -4 + -6 = -10 -10 + 2y + -3y + 9y2 + -7y2 = 0 Combine like terms: 2y + -3y = -1y -10 + -1y + 9y2 + -7y2 = 0 Combine like terms: 9y2 + -7y2 = 2y2 -10 + -1y + 2y2 = 0 Solving -10 + -1y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-2 + -1y)(5 + -2y) = 0Subproblem 1
Set the factor '(-2 + -1y)' equal to zero and attempt to solve: Simplifying -2 + -1y = 0 Solving -2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1y = 0 + 2 -1y = 0 + 2 Combine like terms: 0 + 2 = 2 -1y = 2 Divide each side by '-1'. y = -2 Simplifying y = -2Subproblem 2
Set the factor '(5 + -2y)' equal to zero and attempt to solve: Simplifying 5 + -2y = 0 Solving 5 + -2y = 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 + -2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 0 + -5 -2y = 0 + -5 Combine like terms: 0 + -5 = -5 -2y = -5 Divide each side by '-2'. y = 2.5 Simplifying y = 2.5Solution
y = {-2, 2.5}
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