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Simplifying 2y(y + 5) + 72 = 0 Reorder the terms: 2y(5 + y) + 72 = 0 (5 * 2y + y * 2y) + 72 = 0 (10y + 2y2) + 72 = 0 Reorder the terms: 72 + 10y + 2y2 = 0 Solving 72 + 10y + 2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(36 + 5y + y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(36 + 5y + y2)' equal to zero and attempt to solve: Simplifying 36 + 5y + y2 = 0 Solving 36 + 5y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-36' to each side of the equation. 36 + 5y + -36 + y2 = 0 + -36 Reorder the terms: 36 + -36 + 5y + y2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 5y + y2 = 0 + -36 5y + y2 = 0 + -36 Combine like terms: 0 + -36 = -36 5y + y2 = -36 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 = -36 + 6.25 Reorder the terms: 6.25 + 5y + y2 = -36 + 6.25 Combine like terms: -36 + 6.25 = -29.75 6.25 + 5y + y2 = -29.75 Factor a perfect square on the left side: (y + 2.5)(y + 2.5) = -29.75 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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