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Simplifying 12y2 = 35 + -16y Solving 12y2 = 35 + -16y Solving for variable 'y'. Reorder the terms: -35 + 16y + 12y2 = 35 + -16y + -35 + 16y Reorder the terms: -35 + 16y + 12y2 = 35 + -35 + -16y + 16y Combine like terms: 35 + -35 = 0 -35 + 16y + 12y2 = 0 + -16y + 16y -35 + 16y + 12y2 = -16y + 16y Combine like terms: -16y + 16y = 0 -35 + 16y + 12y2 = 0 Factor a trinomial. (-5 + -2y)(7 + -6y) = 0Subproblem 1
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 = -2.5Subproblem 2
Set the factor '(7 + -6y)' equal to zero and attempt to solve: Simplifying 7 + -6y = 0 Solving 7 + -6y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -6y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6y = 0 + -7 -6y = 0 + -7 Combine like terms: 0 + -7 = -7 -6y = -7 Divide each side by '-6'. y = 1.166666667 Simplifying y = 1.166666667Solution
y = {-2.5, 1.166666667}
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