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Simplifying 9y + -3y(y + 4) = 18 Reorder the terms: 9y + -3y(4 + y) = 18 9y + (4 * -3y + y * -3y) = 18 9y + (-12y + -3y2) = 18 Combine like terms: 9y + -12y = -3y -3y + -3y2 = 18 Solving -3y + -3y2 = 18 Solving for variable 'y'. Reorder the terms: -18 + -3y + -3y2 = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + -3y + -3y2 = 0 Factor out the Greatest Common Factor (GCF), '-3'. -3(6 + y + y2) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(6 + y + y2)' equal to zero and attempt to solve: Simplifying 6 + y + y2 = 0 Solving 6 + y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-6' to each side of the equation. 6 + y + -6 + y2 = 0 + -6 Reorder the terms: 6 + -6 + y + y2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + y + y2 = 0 + -6 y + y2 = 0 + -6 Combine like terms: 0 + -6 = -6 y + y2 = -6 The y term is y. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. y + 0.25 + y2 = -6 + 0.25 Reorder the terms: 0.25 + y + y2 = -6 + 0.25 Combine like terms: -6 + 0.25 = -5.75 0.25 + y + y2 = -5.75 Factor a perfect square on the left side: (y + 0.5)(y + 0.5) = -5.75 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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