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Simplifying 4y2 + -36y + 81 = 25 Reorder the terms: 81 + -36y + 4y2 = 25 Solving 81 + -36y + 4y2 = 25 Solving for variable 'y'. Reorder the terms: 81 + -25 + -36y + 4y2 = 25 + -25 Combine like terms: 81 + -25 = 56 56 + -36y + 4y2 = 25 + -25 Combine like terms: 25 + -25 = 0 56 + -36y + 4y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(14 + -9y + y2) = 0 Factor a trinomial. 4((2 + -1y)(7 + -1y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 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 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve: Simplifying 7 + -1y = 0 Solving 7 + -1y = 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 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7Solution
y = {2, 7}
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