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Simplifying 3y2 + 81 = 30y Reorder the terms: 81 + 3y2 = 30y Solving 81 + 3y2 = 30y Solving for variable 'y'. Reorder the terms: 81 + -30y + 3y2 = 30y + -30y Combine like terms: 30y + -30y = 0 81 + -30y + 3y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(27 + -10y + y2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(27 + -10y + y2)' equal to zero and attempt to solve: Simplifying 27 + -10y + y2 = 0 Solving 27 + -10y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-27' to each side of the equation. 27 + -10y + -27 + y2 = 0 + -27 Reorder the terms: 27 + -27 + -10y + y2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -10y + y2 = 0 + -27 -10y + y2 = 0 + -27 Combine like terms: 0 + -27 = -27 -10y + y2 = -27 The y term is -10y. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10y + 25 + y2 = -27 + 25 Reorder the terms: 25 + -10y + y2 = -27 + 25 Combine like terms: -27 + 25 = -2 25 + -10y + y2 = -2 Factor a perfect square on the left side: (y + -5)(y + -5) = -2 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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