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Simplifying (9y2 + 5y + 1) + (7y2 + 9y + 7) = 0 Reorder the terms: (1 + 5y + 9y2) + (7y2 + 9y + 7) = 0 Remove parenthesis around (1 + 5y + 9y2) 1 + 5y + 9y2 + (7y2 + 9y + 7) = 0 Reorder the terms: 1 + 5y + 9y2 + (7 + 9y + 7y2) = 0 Remove parenthesis around (7 + 9y + 7y2) 1 + 5y + 9y2 + 7 + 9y + 7y2 = 0 Reorder the terms: 1 + 7 + 5y + 9y + 9y2 + 7y2 = 0 Combine like terms: 1 + 7 = 8 8 + 5y + 9y + 9y2 + 7y2 = 0 Combine like terms: 5y + 9y = 14y 8 + 14y + 9y2 + 7y2 = 0 Combine like terms: 9y2 + 7y2 = 16y2 8 + 14y + 16y2 = 0 Solving 8 + 14y + 16y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(4 + 7y + 8y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + 7y + 8y2)' equal to zero and attempt to solve: Simplifying 4 + 7y + 8y2 = 0 Solving 4 + 7y + 8y2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.5 + 0.875y + y2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + 0.875y + -0.5 + y2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + 0.875y + y2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.875y + y2 = 0 + -0.5 0.875y + y2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 0.875y + y2 = -0.5 The y term is 0.875y. Take half its coefficient (0.4375). Square it (0.19140625) and add it to both sides. Add '0.19140625' to each side of the equation. 0.875y + 0.19140625 + y2 = -0.5 + 0.19140625 Reorder the terms: 0.19140625 + 0.875y + y2 = -0.5 + 0.19140625 Combine like terms: -0.5 + 0.19140625 = -0.30859375 0.19140625 + 0.875y + y2 = -0.30859375 Factor a perfect square on the left side: (y + 0.4375)(y + 0.4375) = -0.30859375 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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