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Simplifying 4y2 + 6y + 50 = 0 Reorder the terms: 50 + 6y + 4y2 = 0 Solving 50 + 6y + 4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(25 + 3y + 2y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(25 + 3y + 2y2)' equal to zero and attempt to solve: Simplifying 25 + 3y + 2y2 = 0 Solving 25 + 3y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 12.5 + 1.5y + y2 = 0 Move the constant term to the right: Add '-12.5' to each side of the equation. 12.5 + 1.5y + -12.5 + y2 = 0 + -12.5 Reorder the terms: 12.5 + -12.5 + 1.5y + y2 = 0 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + 1.5y + y2 = 0 + -12.5 1.5y + y2 = 0 + -12.5 Combine like terms: 0 + -12.5 = -12.5 1.5y + y2 = -12.5 The y term is 1.5y. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5y + 0.5625 + y2 = -12.5 + 0.5625 Reorder the terms: 0.5625 + 1.5y + y2 = -12.5 + 0.5625 Combine like terms: -12.5 + 0.5625 = -11.9375 0.5625 + 1.5y + y2 = -11.9375 Factor a perfect square on the left side: (y + 0.75)(y + 0.75) = -11.9375 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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