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Simplifying (8y + 24)(y2 + 4y + -12) = 0 Reorder the terms: (24 + 8y)(y2 + 4y + -12) = 0 Reorder the terms: (24 + 8y)(-12 + 4y + y2) = 0 Multiply (24 + 8y) * (-12 + 4y + y2) (24(-12 + 4y + y2) + 8y * (-12 + 4y + y2)) = 0 ((-12 * 24 + 4y * 24 + y2 * 24) + 8y * (-12 + 4y + y2)) = 0 ((-288 + 96y + 24y2) + 8y * (-12 + 4y + y2)) = 0 (-288 + 96y + 24y2 + (-12 * 8y + 4y * 8y + y2 * 8y)) = 0 (-288 + 96y + 24y2 + (-96y + 32y2 + 8y3)) = 0 Reorder the terms: (-288 + 96y + -96y + 24y2 + 32y2 + 8y3) = 0 Combine like terms: 96y + -96y = 0 (-288 + 0 + 24y2 + 32y2 + 8y3) = 0 (-288 + 24y2 + 32y2 + 8y3) = 0 Combine like terms: 24y2 + 32y2 = 56y2 (-288 + 56y2 + 8y3) = 0 Solving -288 + 56y2 + 8y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '8'. 8(-36 + 7y2 + y3) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-36 + 7y2 + y3)' equal to zero and attempt to solve: Simplifying -36 + 7y2 + y3 = 0 Solving -36 + 7y2 + y3 = 0 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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