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Simplifying 3540 = 180y + -8y2 Solving 3540 = 180y + -8y2 Solving for variable 'y'. Reorder the terms: 3540 + -180y + 8y2 = 180y + -180y + -8y2 + 8y2 Combine like terms: 180y + -180y = 0 3540 + -180y + 8y2 = 0 + -8y2 + 8y2 3540 + -180y + 8y2 = -8y2 + 8y2 Combine like terms: -8y2 + 8y2 = 0 3540 + -180y + 8y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(885 + -45y + 2y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(885 + -45y + 2y2)' equal to zero and attempt to solve: Simplifying 885 + -45y + 2y2 = 0 Solving 885 + -45y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 442.5 + -22.5y + y2 = 0 Move the constant term to the right: Add '-442.5' to each side of the equation. 442.5 + -22.5y + -442.5 + y2 = 0 + -442.5 Reorder the terms: 442.5 + -442.5 + -22.5y + y2 = 0 + -442.5 Combine like terms: 442.5 + -442.5 = 0.0 0.0 + -22.5y + y2 = 0 + -442.5 -22.5y + y2 = 0 + -442.5 Combine like terms: 0 + -442.5 = -442.5 -22.5y + y2 = -442.5 The y term is -22.5y. Take half its coefficient (-11.25). Square it (126.5625) and add it to both sides. Add '126.5625' to each side of the equation. -22.5y + 126.5625 + y2 = -442.5 + 126.5625 Reorder the terms: 126.5625 + -22.5y + y2 = -442.5 + 126.5625 Combine like terms: -442.5 + 126.5625 = -315.9375 126.5625 + -22.5y + y2 = -315.9375 Factor a perfect square on the left side: (y + -11.25)(y + -11.25) = -315.9375 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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