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Simplifying 8y2 + 16y + 121 = 27 Reorder the terms: 121 + 16y + 8y2 = 27 Solving 121 + 16y + 8y2 = 27 Solving for variable 'y'. Reorder the terms: 121 + -27 + 16y + 8y2 = 27 + -27 Combine like terms: 121 + -27 = 94 94 + 16y + 8y2 = 27 + -27 Combine like terms: 27 + -27 = 0 94 + 16y + 8y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(47 + 8y + 4y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(47 + 8y + 4y2)' equal to zero and attempt to solve: Simplifying 47 + 8y + 4y2 = 0 Solving 47 + 8y + 4y2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 11.75 + 2y + y2 = 0 Move the constant term to the right: Add '-11.75' to each side of the equation. 11.75 + 2y + -11.75 + y2 = 0 + -11.75 Reorder the terms: 11.75 + -11.75 + 2y + y2 = 0 + -11.75 Combine like terms: 11.75 + -11.75 = 0.00 0.00 + 2y + y2 = 0 + -11.75 2y + y2 = 0 + -11.75 Combine like terms: 0 + -11.75 = -11.75 2y + y2 = -11.75 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 = -11.75 + 1 Reorder the terms: 1 + 2y + y2 = -11.75 + 1 Combine like terms: -11.75 + 1 = -10.75 1 + 2y + y2 = -10.75 Factor a perfect square on the left side: (y + 1)(y + 1) = -10.75 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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