(t^2-25)(3t-2)=(t^2-25)(t+4)

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Solution for (t^2-25)(3t-2)=(t^2-25)(t+4) equation:


Simplifying
(t2 + -25)(3t + -2) = (t2 + -25)(t + 4)

Reorder the terms:
(-25 + t2)(3t + -2) = (t2 + -25)(t + 4)

Reorder the terms:
(-25 + t2)(-2 + 3t) = (t2 + -25)(t + 4)

Multiply (-25 + t2) * (-2 + 3t)
(-25(-2 + 3t) + t2(-2 + 3t)) = (t2 + -25)(t + 4)
((-2 * -25 + 3t * -25) + t2(-2 + 3t)) = (t2 + -25)(t + 4)
((50 + -75t) + t2(-2 + 3t)) = (t2 + -25)(t + 4)
(50 + -75t + (-2 * t2 + 3t * t2)) = (t2 + -25)(t + 4)
(50 + -75t + (-2t2 + 3t3)) = (t2 + -25)(t + 4)
(50 + -75t + -2t2 + 3t3) = (t2 + -25)(t + 4)

Reorder the terms:
50 + -75t + -2t2 + 3t3 = (-25 + t2)(t + 4)

Reorder the terms:
50 + -75t + -2t2 + 3t3 = (-25 + t2)(4 + t)

Multiply (-25 + t2) * (4 + t)
50 + -75t + -2t2 + 3t3 = (-25(4 + t) + t2(4 + t))
50 + -75t + -2t2 + 3t3 = ((4 * -25 + t * -25) + t2(4 + t))
50 + -75t + -2t2 + 3t3 = ((-100 + -25t) + t2(4 + t))
50 + -75t + -2t2 + 3t3 = (-100 + -25t + (4 * t2 + t * t2))
50 + -75t + -2t2 + 3t3 = (-100 + -25t + (4t2 + t3))
50 + -75t + -2t2 + 3t3 = (-100 + -25t + 4t2 + t3)

Solving
50 + -75t + -2t2 + 3t3 = -100 + -25t + 4t2 + t3

Solving for variable 't'.

Reorder the terms:
50 + 100 + -75t + 25t + -2t2 + -4t2 + 3t3 + -1t3 = -100 + -25t + 4t2 + t3 + 100 + 25t + -4t2 + -1t3

Combine like terms: 50 + 100 = 150
150 + -75t + 25t + -2t2 + -4t2 + 3t3 + -1t3 = -100 + -25t + 4t2 + t3 + 100 + 25t + -4t2 + -1t3

Combine like terms: -75t + 25t = -50t
150 + -50t + -2t2 + -4t2 + 3t3 + -1t3 = -100 + -25t + 4t2 + t3 + 100 + 25t + -4t2 + -1t3

Combine like terms: -2t2 + -4t2 = -6t2
150 + -50t + -6t2 + 3t3 + -1t3 = -100 + -25t + 4t2 + t3 + 100 + 25t + -4t2 + -1t3

Combine like terms: 3t3 + -1t3 = 2t3
150 + -50t + -6t2 + 2t3 = -100 + -25t + 4t2 + t3 + 100 + 25t + -4t2 + -1t3

Reorder the terms:
150 + -50t + -6t2 + 2t3 = -100 + 100 + -25t + 25t + 4t2 + -4t2 + t3 + -1t3

Combine like terms: -100 + 100 = 0
150 + -50t + -6t2 + 2t3 = 0 + -25t + 25t + 4t2 + -4t2 + t3 + -1t3
150 + -50t + -6t2 + 2t3 = -25t + 25t + 4t2 + -4t2 + t3 + -1t3

Combine like terms: -25t + 25t = 0
150 + -50t + -6t2 + 2t3 = 0 + 4t2 + -4t2 + t3 + -1t3
150 + -50t + -6t2 + 2t3 = 4t2 + -4t2 + t3 + -1t3

Combine like terms: 4t2 + -4t2 = 0
150 + -50t + -6t2 + 2t3 = 0 + t3 + -1t3
150 + -50t + -6t2 + 2t3 = t3 + -1t3

Combine like terms: t3 + -1t3 = 0
150 + -50t + -6t2 + 2t3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(75 + -25t + -3t2 + t3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(75 + -25t + -3t2 + t3)' equal to zero and attempt to solve:

Simplifying
75 + -25t + -3t2 + t3 = 0

Solving
75 + -25t + -3t2 + t3 = 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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