(12y-3)(5y+3)(4y+7)=270

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Solution for (12y-3)(5y+3)(4y+7)=270 equation:


Simplifying
(12y + -3)(5y + 3)(4y + 7) = 270

Reorder the terms:
(-3 + 12y)(5y + 3)(4y + 7) = 270

Reorder the terms:
(-3 + 12y)(3 + 5y)(4y + 7) = 270

Reorder the terms:
(-3 + 12y)(3 + 5y)(7 + 4y) = 270

Multiply (-3 + 12y) * (3 + 5y)
(-3(3 + 5y) + 12y * (3 + 5y))(7 + 4y) = 270
((3 * -3 + 5y * -3) + 12y * (3 + 5y))(7 + 4y) = 270
((-9 + -15y) + 12y * (3 + 5y))(7 + 4y) = 270
(-9 + -15y + (3 * 12y + 5y * 12y))(7 + 4y) = 270
(-9 + -15y + (36y + 60y2))(7 + 4y) = 270

Combine like terms: -15y + 36y = 21y
(-9 + 21y + 60y2)(7 + 4y) = 270

Multiply (-9 + 21y + 60y2) * (7 + 4y)
(-9(7 + 4y) + 21y * (7 + 4y) + 60y2 * (7 + 4y)) = 270
((7 * -9 + 4y * -9) + 21y * (7 + 4y) + 60y2 * (7 + 4y)) = 270
((-63 + -36y) + 21y * (7 + 4y) + 60y2 * (7 + 4y)) = 270
(-63 + -36y + (7 * 21y + 4y * 21y) + 60y2 * (7 + 4y)) = 270
(-63 + -36y + (147y + 84y2) + 60y2 * (7 + 4y)) = 270
(-63 + -36y + 147y + 84y2 + (7 * 60y2 + 4y * 60y2)) = 270
(-63 + -36y + 147y + 84y2 + (420y2 + 240y3)) = 270

Combine like terms: -36y + 147y = 111y
(-63 + 111y + 84y2 + 420y2 + 240y3) = 270

Combine like terms: 84y2 + 420y2 = 504y2
(-63 + 111y + 504y2 + 240y3) = 270

Solving
-63 + 111y + 504y2 + 240y3 = 270

Solving for variable 'y'.

Reorder the terms:
-63 + -270 + 111y + 504y2 + 240y3 = 270 + -270

Combine like terms: -63 + -270 = -333
-333 + 111y + 504y2 + 240y3 = 270 + -270

Combine like terms: 270 + -270 = 0
-333 + 111y + 504y2 + 240y3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-111 + 37y + 168y2 + 80y3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-111 + 37y + 168y2 + 80y3)' equal to zero and attempt to solve: Simplifying -111 + 37y + 168y2 + 80y3 = 0 Solving -111 + 37y + 168y2 + 80y3 = 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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