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Simplifying (-9y2 + -7y) + (4y2 + 2y + -8) = 0 Reorder the terms: (-7y + -9y2) + (4y2 + 2y + -8) = 0 Remove parenthesis around (-7y + -9y2) -7y + -9y2 + (4y2 + 2y + -8) = 0 Reorder the terms: -7y + -9y2 + (-8 + 2y + 4y2) = 0 Remove parenthesis around (-8 + 2y + 4y2) -7y + -9y2 + -8 + 2y + 4y2 = 0 Reorder the terms: -8 + -7y + 2y + -9y2 + 4y2 = 0 Combine like terms: -7y + 2y = -5y -8 + -5y + -9y2 + 4y2 = 0 Combine like terms: -9y2 + 4y2 = -5y2 -8 + -5y + -5y2 = 0 Solving -8 + -5y + -5y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-1'. -1(8 + 5y + 5y2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(8 + 5y + 5y2)' equal to zero and attempt to solve: Simplifying 8 + 5y + 5y2 = 0 Solving 8 + 5y + 5y2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.6 + y + y2 = 0 Move the constant term to the right: Add '-1.6' to each side of the equation. 1.6 + y + -1.6 + y2 = 0 + -1.6 Reorder the terms: 1.6 + -1.6 + y + y2 = 0 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + y + y2 = 0 + -1.6 y + y2 = 0 + -1.6 Combine like terms: 0 + -1.6 = -1.6 y + y2 = -1.6 The y term is y. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + y2 = -1.6 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + y2 = -1.6 + 0.25 Combine like terms: -1.6 + 0.25 = -1.35 1.25 + y2 = -1.35 Factor a perfect square on the left side: (y + 0.5)(y + 0.5) = -1.35 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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