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Simplifying (-8y2 + -6y) + (6y2 + 2y + -4) = 0 Reorder the terms: (-6y + -8y2) + (6y2 + 2y + -4) = 0 Remove parenthesis around (-6y + -8y2) -6y + -8y2 + (6y2 + 2y + -4) = 0 Reorder the terms: -6y + -8y2 + (-4 + 2y + 6y2) = 0 Remove parenthesis around (-4 + 2y + 6y2) -6y + -8y2 + -4 + 2y + 6y2 = 0 Reorder the terms: -4 + -6y + 2y + -8y2 + 6y2 = 0 Combine like terms: -6y + 2y = -4y -4 + -4y + -8y2 + 6y2 = 0 Combine like terms: -8y2 + 6y2 = -2y2 -4 + -4y + -2y2 = 0 Solving -4 + -4y + -2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-2'. -2(2 + 2y + y2) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(2 + 2y + y2)' equal to zero and attempt to solve: Simplifying 2 + 2y + y2 = 0 Solving 2 + 2y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-2' to each side of the equation. 2 + 2y + -2 + y2 = 0 + -2 Reorder the terms: 2 + -2 + 2y + y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2y + y2 = 0 + -2 2y + y2 = 0 + -2 Combine like terms: 0 + -2 = -2 2y + y2 = -2 The y term is 2y. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2y + 1 + y2 = -2 + 1 Reorder the terms: 1 + 2y + y2 = -2 + 1 Combine like terms: -2 + 1 = -1 1 + 2y + y2 = -1 Factor a perfect square on the left side: (y + 1)(y + 1) = -1 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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