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Simplifying -105y + 49 + 54y2 = 0 Reorder the terms: 49 + -105y + 54y2 = 0 Solving 49 + -105y + 54y2 = 0 Solving for variable 'y'. Factor a trinomial. (7 + -9y)(7 + -6y) = 0Subproblem 1
Set the factor '(7 + -9y)' equal to zero and attempt to solve: Simplifying 7 + -9y = 0 Solving 7 + -9y = 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 + -9y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9y = 0 + -7 -9y = 0 + -7 Combine like terms: 0 + -7 = -7 -9y = -7 Divide each side by '-9'. y = 0.7777777778 Simplifying y = 0.7777777778Subproblem 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 = {0.7777777778, 1.166666667}
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