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Simplifying (-8y2 + -4y) + (4y2 + y + -8) = 0 Reorder the terms: (-4y + -8y2) + (4y2 + y + -8) = 0 Remove parenthesis around (-4y + -8y2) -4y + -8y2 + (4y2 + y + -8) = 0 Reorder the terms: -4y + -8y2 + (-8 + y + 4y2) = 0 Remove parenthesis around (-8 + y + 4y2) -4y + -8y2 + -8 + y + 4y2 = 0 Reorder the terms: -8 + -4y + y + -8y2 + 4y2 = 0 Combine like terms: -4y + y = -3y -8 + -3y + -8y2 + 4y2 = 0 Combine like terms: -8y2 + 4y2 = -4y2 -8 + -3y + -4y2 = 0 Solving -8 + -3y + -4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-1'. -1(8 + 3y + 4y2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(8 + 3y + 4y2)' equal to zero and attempt to solve: Simplifying 8 + 3y + 4y2 = 0 Solving 8 + 3y + 4y2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2 + 0.75y + y2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 0.75y + -2 + y2 = 0 + -2 Reorder the terms: 2 + -2 + 0.75y + y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 0.75y + y2 = 0 + -2 0.75y + y2 = 0 + -2 Combine like terms: 0 + -2 = -2 0.75y + y2 = -2 The y term is 0.75y. Take half its coefficient (0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. 0.75y + 0.140625 + y2 = -2 + 0.140625 Reorder the terms: 0.140625 + 0.75y + y2 = -2 + 0.140625 Combine like terms: -2 + 0.140625 = -1.859375 0.140625 + 0.75y + y2 = -1.859375 Factor a perfect square on the left side: (y + 0.375)(y + 0.375) = -1.859375 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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