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Simplifying 30000 = -8y2 + 950y + -2250 Reorder the terms: 30000 = -2250 + 950y + -8y2 Solving 30000 = -2250 + 950y + -8y2 Solving for variable 'y'. Combine like terms: 30000 + 2250 = 32250 32250 + -950y + 8y2 = -2250 + 950y + -8y2 + 2250 + -950y + 8y2 Reorder the terms: 32250 + -950y + 8y2 = -2250 + 2250 + 950y + -950y + -8y2 + 8y2 Combine like terms: -2250 + 2250 = 0 32250 + -950y + 8y2 = 0 + 950y + -950y + -8y2 + 8y2 32250 + -950y + 8y2 = 950y + -950y + -8y2 + 8y2 Combine like terms: 950y + -950y = 0 32250 + -950y + 8y2 = 0 + -8y2 + 8y2 32250 + -950y + 8y2 = -8y2 + 8y2 Combine like terms: -8y2 + 8y2 = 0 32250 + -950y + 8y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(16125 + -475y + 4y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(16125 + -475y + 4y2)' equal to zero and attempt to solve: Simplifying 16125 + -475y + 4y2 = 0 Solving 16125 + -475y + 4y2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 4031.25 + -118.75y + y2 = 0 Move the constant term to the right: Add '-4031.25' to each side of the equation. 4031.25 + -118.75y + -4031.25 + y2 = 0 + -4031.25 Reorder the terms: 4031.25 + -4031.25 + -118.75y + y2 = 0 + -4031.25 Combine like terms: 4031.25 + -4031.25 = 0.00 0.00 + -118.75y + y2 = 0 + -4031.25 -118.75y + y2 = 0 + -4031.25 Combine like terms: 0 + -4031.25 = -4031.25 -118.75y + y2 = -4031.25 The y term is -118.75y. Take half its coefficient (-59.375). Square it (3525.390625) and add it to both sides. Add '3525.390625' to each side of the equation. -118.75y + 3525.390625 + y2 = -4031.25 + 3525.390625 Reorder the terms: 3525.390625 + -118.75y + y2 = -4031.25 + 3525.390625 Combine like terms: -4031.25 + 3525.390625 = -505.859375 3525.390625 + -118.75y + y2 = -505.859375 Factor a perfect square on the left side: (y + -59.375)(y + -59.375) = -505.859375 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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