(t^2-9)(t^2+4t-3)=(t^2-9)(18)

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Solution for (t^2-9)(t^2+4t-3)=(t^2-9)(18) equation: 


Simplifying
(t2 + -9)(t2 + 4t + -3) = (t2 + -9)(18)

Reorder the terms:
(-9 + t2)(t2 + 4t + -3) = (t2 + -9)(18)

Reorder the terms:
(-9 + t2)(-3 + 4t + t2) = (t2 + -9)(18)

Multiply (-9 + t2) * (-3 + 4t + t2)
(-9(-3 + 4t + t2) + t2(-3 + 4t + t2)) = (t2 + -9)(18)
((-3 * -9 + 4t * -9 + t2 * -9) + t2(-3 + 4t + t2)) = (t2 + -9)(18)
((27 + -36t + -9t2) + t2(-3 + 4t + t2)) = (t2 + -9)(18)
(27 + -36t + -9t2 + (-3 * t2 + 4t * t2 + t2 * t2)) = (t2 + -9)(18)
(27 + -36t + -9t2 + (-3t2 + 4t3 + t4)) = (t2 + -9)(18)

Combine like terms: -9t2 + -3t2 = -12t2
(27 + -36t + -12t2 + 4t3 + t4) = (t2 + -9)(18)

Reorder the terms:
27 + -36t + -12t2 + 4t3 + t4 = (-9 + t2)(18)

Reorder the terms for easier multiplication:
27 + -36t + -12t2 + 4t3 + t4 = 18(-9 + t2)
27 + -36t + -12t2 + 4t3 + t4 = (-9 * 18 + t2 * 18)
27 + -36t + -12t2 + 4t3 + t4 = (-162 + 18t2)

Solving
27 + -36t + -12t2 + 4t3 + t4 = -162 + 18t2

Solving for variable 't'.

Reorder the terms:
27 + 162 + -36t + -12t2 + -18t2 + 4t3 + t4 = -162 + 18t2 + 162 + -18t2

Combine like terms: 27 + 162 = 189
189 + -36t + -12t2 + -18t2 + 4t3 + t4 = -162 + 18t2 + 162 + -18t2

Combine like terms: -12t2 + -18t2 = -30t2
189 + -36t + -30t2 + 4t3 + t4 = -162 + 18t2 + 162 + -18t2

Reorder the terms:
189 + -36t + -30t2 + 4t3 + t4 = -162 + 162 + 18t2 + -18t2

Combine like terms: -162 + 162 = 0
189 + -36t + -30t2 + 4t3 + t4 = 0 + 18t2 + -18t2
189 + -36t + -30t2 + 4t3 + t4 = 18t2 + -18t2

Combine like terms: 18t2 + -18t2 = 0
189 + -36t + -30t2 + 4t3 + t4 = 0

The solution to this equation could not be determined.

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