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Simplifying 36y2 + -168y + 196 = 0 Reorder the terms: 196 + -168y + 36y2 = 0 Solving 196 + -168y + 36y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(49 + -42y + 9y2) = 0 Factor a trinomial. 4((7 + -3y)(7 + -3y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(7 + -3y)' equal to zero and attempt to solve: Simplifying 7 + -3y = 0 Solving 7 + -3y = 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 + -3y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3y = 0 + -7 -3y = 0 + -7 Combine like terms: 0 + -7 = -7 -3y = -7 Divide each side by '-3'. y = 2.333333333 Simplifying y = 2.333333333Subproblem 2
Set the factor '(7 + -3y)' equal to zero and attempt to solve: Simplifying 7 + -3y = 0 Solving 7 + -3y = 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 + -3y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3y = 0 + -7 -3y = 0 + -7 Combine like terms: 0 + -7 = -7 -3y = -7 Divide each side by '-3'. y = 2.333333333 Simplifying y = 2.333333333Solution
y = {2.333333333, 2.333333333}
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