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Simplifying 9y2 + -36y + 300 = 0 Reorder the terms: 300 + -36y + 9y2 = 0 Solving 300 + -36y + 9y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(100 + -12y + 3y2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(100 + -12y + 3y2)' equal to zero and attempt to solve: Simplifying 100 + -12y + 3y2 = 0 Solving 100 + -12y + 3y2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 33.33333333 + -4y + y2 = 0 Move the constant term to the right: Add '-33.33333333' to each side of the equation. 33.33333333 + -4y + -33.33333333 + y2 = 0 + -33.33333333 Reorder the terms: 33.33333333 + -33.33333333 + -4y + y2 = 0 + -33.33333333 Combine like terms: 33.33333333 + -33.33333333 = 0.00000000 0.00000000 + -4y + y2 = 0 + -33.33333333 -4y + y2 = 0 + -33.33333333 Combine like terms: 0 + -33.33333333 = -33.33333333 -4y + y2 = -33.33333333 The y term is -4y. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4y + 4 + y2 = -33.33333333 + 4 Reorder the terms: 4 + -4y + y2 = -33.33333333 + 4 Combine like terms: -33.33333333 + 4 = -29.33333333 4 + -4y + y2 = -29.33333333 Factor a perfect square on the left side: (y + -2)(y + -2) = -29.33333333 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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