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Simplifying 4y2 + 20y + 100 = 0 Reorder the terms: 100 + 20y + 4y2 = 0 Solving 100 + 20y + 4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(25 + 5y + y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(25 + 5y + y2)' equal to zero and attempt to solve: Simplifying 25 + 5y + y2 = 0 Solving 25 + 5y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + 5y + -25 + y2 = 0 + -25 Reorder the terms: 25 + -25 + 5y + y2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 5y + y2 = 0 + -25 5y + y2 = 0 + -25 Combine like terms: 0 + -25 = -25 5y + y2 = -25 The y term is 5y. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5y + 6.25 + y2 = -25 + 6.25 Reorder the terms: 6.25 + 5y + y2 = -25 + 6.25 Combine like terms: -25 + 6.25 = -18.75 6.25 + 5y + y2 = -18.75 Factor a perfect square on the left side: (y + 2.5)(y + 2.5) = -18.75 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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