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Simplifying 4y2 + 16y + 18 = 0 Reorder the terms: 18 + 16y + 4y2 = 0 Solving 18 + 16y + 4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(9 + 8y + 2y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + 8y + 2y2)' equal to zero and attempt to solve: Simplifying 9 + 8y + 2y2 = 0 Solving 9 + 8y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 4.5 + 4y + y2 = 0 Move the constant term to the right: Add '-4.5' to each side of the equation. 4.5 + 4y + -4.5 + y2 = 0 + -4.5 Reorder the terms: 4.5 + -4.5 + 4y + y2 = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 4y + y2 = 0 + -4.5 4y + y2 = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 4y + y2 = -4.5 The y term is 4y. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4y + 4 + y2 = -4.5 + 4 Reorder the terms: 4 + 4y + y2 = -4.5 + 4 Combine like terms: -4.5 + 4 = -0.5 4 + 4y + y2 = -0.5 Factor a perfect square on the left side: (y + 2)(y + 2) = -0.5 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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