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Simplifying 4y2 + 14y + 36 = 0 Reorder the terms: 36 + 14y + 4y2 = 0 Solving 36 + 14y + 4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(18 + 7y + 2y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(18 + 7y + 2y2)' equal to zero and attempt to solve: Simplifying 18 + 7y + 2y2 = 0 Solving 18 + 7y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 9 + 3.5y + y2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + 3.5y + -9 + y2 = 0 + -9 Reorder the terms: 9 + -9 + 3.5y + y2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3.5y + y2 = 0 + -9 3.5y + y2 = 0 + -9 Combine like terms: 0 + -9 = -9 3.5y + y2 = -9 The y term is 3.5y. Take half its coefficient (1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. 3.5y + 3.0625 + y2 = -9 + 3.0625 Reorder the terms: 3.0625 + 3.5y + y2 = -9 + 3.0625 Combine like terms: -9 + 3.0625 = -5.9375 3.0625 + 3.5y + y2 = -5.9375 Factor a perfect square on the left side: (y + 1.75)(y + 1.75) = -5.9375 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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