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Simplifying -72 + 12y = 4y2 Solving -72 + 12y = 4y2 Solving for variable 'y'. Combine like terms: 4y2 + -4y2 = 0 -72 + 12y + -4y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-18 + 3y + -1y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-18 + 3y + -1y2)' equal to zero and attempt to solve: Simplifying -18 + 3y + -1y2 = 0 Solving -18 + 3y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 18 + -3y + y2 = 0 Move the constant term to the right: Add '-18' to each side of the equation. 18 + -3y + -18 + y2 = 0 + -18 Reorder the terms: 18 + -18 + -3y + y2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -3y + y2 = 0 + -18 -3y + y2 = 0 + -18 Combine like terms: 0 + -18 = -18 -3y + y2 = -18 The y term is -3y. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3y + 2.25 + y2 = -18 + 2.25 Reorder the terms: 2.25 + -3y + y2 = -18 + 2.25 Combine like terms: -18 + 2.25 = -15.75 2.25 + -3y + y2 = -15.75 Factor a perfect square on the left side: (y + -1.5)(y + -1.5) = -15.75 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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