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Simplifying -9y = 5y2 + 5 Reorder the terms: -9y = 5 + 5y2 Solving -9y = 5 + 5y2 Solving for variable 'y'. Reorder the terms: -5 + -9y + -5y2 = 5 + 5y2 + -5 + -5y2 Reorder the terms: -5 + -9y + -5y2 = 5 + -5 + 5y2 + -5y2 Combine like terms: 5 + -5 = 0 -5 + -9y + -5y2 = 0 + 5y2 + -5y2 -5 + -9y + -5y2 = 5y2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 -5 + -9y + -5y2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(5 + 9y + 5y2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + 9y + 5y2)' equal to zero and attempt to solve: Simplifying 5 + 9y + 5y2 = 0 Solving 5 + 9y + 5y2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1 + 1.8y + y2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1.8y + -1 + y2 = 0 + -1 Reorder the terms: 1 + -1 + 1.8y + y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.8y + y2 = 0 + -1 1.8y + y2 = 0 + -1 Combine like terms: 0 + -1 = -1 1.8y + y2 = -1 The y term is 1.8y. Take half its coefficient (0.9). Square it (0.81) and add it to both sides. Add '0.81' to each side of the equation. 1.8y + 0.81 + y2 = -1 + 0.81 Reorder the terms: 0.81 + 1.8y + y2 = -1 + 0.81 Combine like terms: -1 + 0.81 = -0.19 0.81 + 1.8y + y2 = -0.19 Factor a perfect square on the left side: (y + 0.9)(y + 0.9) = -0.19 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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