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Simplifying y2 + 8y + -6 + -9y2 + -24y + -26 = 0 Reorder the terms: -6 + -26 + 8y + -24y + y2 + -9y2 = 0 Combine like terms: -6 + -26 = -32 -32 + 8y + -24y + y2 + -9y2 = 0 Combine like terms: 8y + -24y = -16y -32 + -16y + y2 + -9y2 = 0 Combine like terms: y2 + -9y2 = -8y2 -32 + -16y + -8y2 = 0 Solving -32 + -16y + -8y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-8'. -8(4 + 2y + y2) = 0 Ignore the factor -8.Subproblem 1
Set the factor '(4 + 2y + y2)' equal to zero and attempt to solve: Simplifying 4 + 2y + y2 = 0 Solving 4 + 2y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-4' to each side of the equation. 4 + 2y + -4 + y2 = 0 + -4 Reorder the terms: 4 + -4 + 2y + y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2y + y2 = 0 + -4 2y + y2 = 0 + -4 Combine like terms: 0 + -4 = -4 2y + y2 = -4 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 = -4 + 1 Reorder the terms: 1 + 2y + y2 = -4 + 1 Combine like terms: -4 + 1 = -3 1 + 2y + y2 = -3 Factor a perfect square on the left side: (y + 1)(y + 1) = -3 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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