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Simplifying -2y2 + 20y + -700 = 0 Reorder the terms: -700 + 20y + -2y2 = 0 Solving -700 + 20y + -2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-350 + 10y + -1y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-350 + 10y + -1y2)' equal to zero and attempt to solve: Simplifying -350 + 10y + -1y2 = 0 Solving -350 + 10y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 350 + -10y + y2 = 0 Move the constant term to the right: Add '-350' to each side of the equation. 350 + -10y + -350 + y2 = 0 + -350 Reorder the terms: 350 + -350 + -10y + y2 = 0 + -350 Combine like terms: 350 + -350 = 0 0 + -10y + y2 = 0 + -350 -10y + y2 = 0 + -350 Combine like terms: 0 + -350 = -350 -10y + y2 = -350 The y term is -10y. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10y + 25 + y2 = -350 + 25 Reorder the terms: 25 + -10y + y2 = -350 + 25 Combine like terms: -350 + 25 = -325 25 + -10y + y2 = -325 Factor a perfect square on the left side: (y + -5)(y + -5) = -325 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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