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Simplifying 16y2 + -288y + 5184 = 4y Reorder the terms: 5184 + -288y + 16y2 = 4y Solving 5184 + -288y + 16y2 = 4y Solving for variable 'y'. Reorder the terms: 5184 + -288y + -4y + 16y2 = 4y + -4y Combine like terms: -288y + -4y = -292y 5184 + -292y + 16y2 = 4y + -4y Combine like terms: 4y + -4y = 0 5184 + -292y + 16y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(1296 + -73y + 4y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1296 + -73y + 4y2)' equal to zero and attempt to solve: Simplifying 1296 + -73y + 4y2 = 0 Solving 1296 + -73y + 4y2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 324 + -18.25y + y2 = 0 Move the constant term to the right: Add '-324' to each side of the equation. 324 + -18.25y + -324 + y2 = 0 + -324 Reorder the terms: 324 + -324 + -18.25y + y2 = 0 + -324 Combine like terms: 324 + -324 = 0 0 + -18.25y + y2 = 0 + -324 -18.25y + y2 = 0 + -324 Combine like terms: 0 + -324 = -324 -18.25y + y2 = -324 The y term is -18.25y. Take half its coefficient (-9.125). Square it (83.265625) and add it to both sides. Add '83.265625' to each side of the equation. -18.25y + 83.265625 + y2 = -324 + 83.265625 Reorder the terms: 83.265625 + -18.25y + y2 = -324 + 83.265625 Combine like terms: -324 + 83.265625 = -240.734375 83.265625 + -18.25y + y2 = -240.734375 Factor a perfect square on the left side: (y + -9.125)(y + -9.125) = -240.734375 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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