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Simplifying (12y2 + 17y + -4) + (9y2 + -13y + 3) = 0 Reorder the terms: (-4 + 17y + 12y2) + (9y2 + -13y + 3) = 0 Remove parenthesis around (-4 + 17y + 12y2) -4 + 17y + 12y2 + (9y2 + -13y + 3) = 0 Reorder the terms: -4 + 17y + 12y2 + (3 + -13y + 9y2) = 0 Remove parenthesis around (3 + -13y + 9y2) -4 + 17y + 12y2 + 3 + -13y + 9y2 = 0 Reorder the terms: -4 + 3 + 17y + -13y + 12y2 + 9y2 = 0 Combine like terms: -4 + 3 = -1 -1 + 17y + -13y + 12y2 + 9y2 = 0 Combine like terms: 17y + -13y = 4y -1 + 4y + 12y2 + 9y2 = 0 Combine like terms: 12y2 + 9y2 = 21y2 -1 + 4y + 21y2 = 0 Solving -1 + 4y + 21y2 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + -3y)(1 + -7y) = 0Subproblem 1
Set the factor '(-1 + -3y)' equal to zero and attempt to solve: Simplifying -1 + -3y = 0 Solving -1 + -3y = 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 + -3y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3y = 0 + 1 -3y = 0 + 1 Combine like terms: 0 + 1 = 1 -3y = 1 Divide each side by '-3'. y = -0.3333333333 Simplifying y = -0.3333333333Subproblem 2
Set the factor '(1 + -7y)' equal to zero and attempt to solve: Simplifying 1 + -7y = 0 Solving 1 + -7y = 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 + -7y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7y = 0 + -1 -7y = 0 + -1 Combine like terms: 0 + -1 = -1 -7y = -1 Divide each side by '-7'. y = 0.1428571429 Simplifying y = 0.1428571429Solution
y = {-0.3333333333, 0.1428571429}
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