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Simplifying 4y + -2y2 = 56 Solving 4y + -2y2 = 56 Solving for variable 'y'. Reorder the terms: -56 + 4y + -2y2 = 56 + -56 Combine like terms: 56 + -56 = 0 -56 + 4y + -2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-28 + 2y + -1y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-28 + 2y + -1y2)' equal to zero and attempt to solve: Simplifying -28 + 2y + -1y2 = 0 Solving -28 + 2y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 28 + -2y + y2 = 0 Move the constant term to the right: Add '-28' to each side of the equation. 28 + -2y + -28 + y2 = 0 + -28 Reorder the terms: 28 + -28 + -2y + y2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -2y + y2 = 0 + -28 -2y + y2 = 0 + -28 Combine like terms: 0 + -28 = -28 -2y + y2 = -28 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 = -28 + 1 Reorder the terms: 1 + -2y + y2 = -28 + 1 Combine like terms: -28 + 1 = -27 1 + -2y + y2 = -27 Factor a perfect square on the left side: (y + -1)(y + -1) = -27 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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