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Simplifying 3y2 + 3d(4y2 + -2) = 0 Reorder the terms: 3y2 + 3d(-2 + 4y2) = 0 3y2 + (-2 * 3d + 4y2 * 3d) = 0 3y2 + (-6d + 12dy2) = 0 Reorder the terms: -6d + 12dy2 + 3y2 = 0 Solving -6d + 12dy2 + 3y2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3y2' to each side of the equation. -6d + 12dy2 + 3y2 + -3y2 = 0 + -3y2 Combine like terms: 3y2 + -3y2 = 0 -6d + 12dy2 + 0 = 0 + -3y2 -6d + 12dy2 = 0 + -3y2 Remove the zero: -6d + 12dy2 = -3y2 Combine like terms: -3y2 + 3y2 = 0 -6d + 12dy2 + 3y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-2d + 4dy2 + y2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2d + 4dy2 + y2)' equal to zero and attempt to solve: Simplifying -2d + 4dy2 + y2 = 0 Solving -2d + 4dy2 + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1y2' to each side of the equation. -2d + 4dy2 + y2 + -1y2 = 0 + -1y2 Combine like terms: y2 + -1y2 = 0 -2d + 4dy2 + 0 = 0 + -1y2 -2d + 4dy2 = 0 + -1y2 Remove the zero: -2d + 4dy2 = -1y2 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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