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Simplifying 6y2 + 29y = 22 Reorder the terms: 29y + 6y2 = 22 Solving 29y + 6y2 = 22 Solving for variable 'y'. Reorder the terms: -22 + 29y + 6y2 = 22 + -22 Combine like terms: 22 + -22 = 0 -22 + 29y + 6y2 = 0 Factor a trinomial. (-11 + -2y)(2 + -3y) = 0Subproblem 1
Set the factor '(-11 + -2y)' equal to zero and attempt to solve: Simplifying -11 + -2y = 0 Solving -11 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2y = 0 + 11 -2y = 0 + 11 Combine like terms: 0 + 11 = 11 -2y = 11 Divide each side by '-2'. y = -5.5 Simplifying y = -5.5Subproblem 2
Set the factor '(2 + -3y)' equal to zero and attempt to solve: Simplifying 2 + -3y = 0 Solving 2 + -3y = 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 + -3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3y = 0 + -2 -3y = 0 + -2 Combine like terms: 0 + -2 = -2 -3y = -2 Divide each side by '-3'. y = 0.6666666667 Simplifying y = 0.6666666667Solution
y = {-5.5, 0.6666666667}
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