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Simplifying -4y2 + -9y = 28 Reorder the terms: -9y + -4y2 = 28 Solving -9y + -4y2 = 28 Solving for variable 'y'. Reorder the terms: -28 + -9y + -4y2 = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + -9y + -4y2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(28 + 9y + 4y2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(28 + 9y + 4y2)' equal to zero and attempt to solve: Simplifying 28 + 9y + 4y2 = 0 Solving 28 + 9y + 4y2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 7 + 2.25y + y2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + 2.25y + -7 + y2 = 0 + -7 Reorder the terms: 7 + -7 + 2.25y + y2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2.25y + y2 = 0 + -7 2.25y + y2 = 0 + -7 Combine like terms: 0 + -7 = -7 2.25y + y2 = -7 The y term is 2.25y. Take half its coefficient (1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. 2.25y + 1.265625 + y2 = -7 + 1.265625 Reorder the terms: 1.265625 + 2.25y + y2 = -7 + 1.265625 Combine like terms: -7 + 1.265625 = -5.734375 1.265625 + 2.25y + y2 = -5.734375 Factor a perfect square on the left side: (y + 1.125)(y + 1.125) = -5.734375 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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