(y^2+y-12)(4y-32)=0

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Solution for (y^2+y-12)(4y-32)=0 equation:


Simplifying
(y2 + y + -12)(4y + -32) = 0

Reorder the terms:
(-12 + y + y2)(4y + -32) = 0

Reorder the terms:
(-12 + y + y2)(-32 + 4y) = 0

Multiply (-12 + y + y2) * (-32 + 4y)
(-12(-32 + 4y) + y(-32 + 4y) + y2(-32 + 4y)) = 0
((-32 * -12 + 4y * -12) + y(-32 + 4y) + y2(-32 + 4y)) = 0
((384 + -48y) + y(-32 + 4y) + y2(-32 + 4y)) = 0
(384 + -48y + (-32 * y + 4y * y) + y2(-32 + 4y)) = 0
(384 + -48y + (-32y + 4y2) + y2(-32 + 4y)) = 0
(384 + -48y + -32y + 4y2 + (-32 * y2 + 4y * y2)) = 0
(384 + -48y + -32y + 4y2 + (-32y2 + 4y3)) = 0

Combine like terms: -48y + -32y = -80y
(384 + -80y + 4y2 + -32y2 + 4y3) = 0

Combine like terms: 4y2 + -32y2 = -28y2
(384 + -80y + -28y2 + 4y3) = 0

Solving
384 + -80y + -28y2 + 4y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(96 + -20y + -7y2 + y3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(96 + -20y + -7y2 + y3)' equal to zero and attempt to solve: Simplifying 96 + -20y + -7y2 + y3 = 0 Solving 96 + -20y + -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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