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Simplifying 2(4y2 + -11y + 8) = 0 Reorder the terms: 2(8 + -11y + 4y2) = 0 (8 * 2 + -11y * 2 + 4y2 * 2) = 0 (16 + -22y + 8y2) = 0 Solving 16 + -22y + 8y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(8 + -11y + 4y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + -11y + 4y2)' equal to zero and attempt to solve: Simplifying 8 + -11y + 4y2 = 0 Solving 8 + -11y + 4y2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2 + -2.75y + y2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -2.75y + -2 + y2 = 0 + -2 Reorder the terms: 2 + -2 + -2.75y + y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2.75y + y2 = 0 + -2 -2.75y + y2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2.75y + y2 = -2 The y term is -2.75y. Take half its coefficient (-1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. -2.75y + 1.890625 + y2 = -2 + 1.890625 Reorder the terms: 1.890625 + -2.75y + y2 = -2 + 1.890625 Combine like terms: -2 + 1.890625 = -0.109375 1.890625 + -2.75y + y2 = -0.109375 Factor a perfect square on the left side: (y + -1.375)(y + -1.375) = -0.109375 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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