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Simplifying 4y2 + 20y + 70 = 0 Reorder the terms: 70 + 20y + 4y2 = 0 Solving 70 + 20y + 4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(35 + 10y + 2y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(35 + 10y + 2y2)' equal to zero and attempt to solve: Simplifying 35 + 10y + 2y2 = 0 Solving 35 + 10y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 17.5 + 5y + y2 = 0 Move the constant term to the right: Add '-17.5' to each side of the equation. 17.5 + 5y + -17.5 + y2 = 0 + -17.5 Reorder the terms: 17.5 + -17.5 + 5y + y2 = 0 + -17.5 Combine like terms: 17.5 + -17.5 = 0.0 0.0 + 5y + y2 = 0 + -17.5 5y + y2 = 0 + -17.5 Combine like terms: 0 + -17.5 = -17.5 5y + y2 = -17.5 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 = -17.5 + 6.25 Reorder the terms: 6.25 + 5y + y2 = -17.5 + 6.25 Combine like terms: -17.5 + 6.25 = -11.25 6.25 + 5y + y2 = -11.25 Factor a perfect square on the left side: (y + 2.5)(y + 2.5) = -11.25 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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