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Simplifying 5y2 + 5y + 60 = 0 Reorder the terms: 60 + 5y + 5y2 = 0 Solving 60 + 5y + 5y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5'. 5(12 + y + y2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(12 + y + y2)' equal to zero and attempt to solve: Simplifying 12 + y + y2 = 0 Solving 12 + y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + y + -12 + y2 = 0 + -12 Reorder the terms: 12 + -12 + y + y2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + y + y2 = 0 + -12 y + y2 = 0 + -12 Combine like terms: 0 + -12 = -12 y + y2 = -12 The y term is y. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. y + 0.25 + y2 = -12 + 0.25 Reorder the terms: 0.25 + y + y2 = -12 + 0.25 Combine like terms: -12 + 0.25 = -11.75 0.25 + y + y2 = -11.75 Factor a perfect square on the left side: (y + 0.5)(y + 0.5) = -11.75 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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