=(t^2+2t-5)(t^2+2t+5)

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Solution for =(t^2+2t-5)(t^2+2t+5) equation: 


Simplifying
0 = (t2 + 2t + -5)(t2 + 2t + 5)

Reorder the terms:
0 = (-5 + 2t + t2)(t2 + 2t + 5)

Reorder the terms:
0 = (-5 + 2t + t2)(5 + 2t + t2)

Multiply (-5 + 2t + t2) * (5 + 2t + t2)
0 = (-5(5 + 2t + t2) + 2t * (5 + 2t + t2) + t2(5 + 2t + t2))
0 = ((5 * -5 + 2t * -5 + t2 * -5) + 2t * (5 + 2t + t2) + t2(5 + 2t + t2))
0 = ((-25 + -10t + -5t2) + 2t * (5 + 2t + t2) + t2(5 + 2t + t2))
0 = (-25 + -10t + -5t2 + (5 * 2t + 2t * 2t + t2 * 2t) + t2(5 + 2t + t2))
0 = (-25 + -10t + -5t2 + (10t + 4t2 + 2t3) + t2(5 + 2t + t2))
0 = (-25 + -10t + -5t2 + 10t + 4t2 + 2t3 + (5 * t2 + 2t * t2 + t2 * t2))
0 = (-25 + -10t + -5t2 + 10t + 4t2 + 2t3 + (5t2 + 2t3 + t4))

Reorder the terms:
0 = (-25 + -10t + 10t + -5t2 + 4t2 + 5t2 + 2t3 + 2t3 + t4)

Combine like terms: -10t + 10t = 0
0 = (-25 + 0 + -5t2 + 4t2 + 5t2 + 2t3 + 2t3 + t4)
0 = (-25 + -5t2 + 4t2 + 5t2 + 2t3 + 2t3 + t4)

Combine like terms: -5t2 + 4t2 = -1t2
0 = (-25 + -1t2 + 5t2 + 2t3 + 2t3 + t4)

Combine like terms: -1t2 + 5t2 = 4t2
0 = (-25 + 4t2 + 2t3 + 2t3 + t4)

Combine like terms: 2t3 + 2t3 = 4t3
0 = (-25 + 4t2 + 4t3 + t4)

Solving
0 = -25 + 4t2 + 4t3 + t4

Solving for variable 't'.

Combine like terms: 0 + 25 = 25
25 + -4t2 + -4t3 + -1t4 = -25 + 4t2 + 4t3 + t4 + 25 + -4t2 + -4t3 + -1t4

Reorder the terms:
25 + -4t2 + -4t3 + -1t4 = -25 + 25 + 4t2 + -4t2 + 4t3 + -4t3 + t4 + -1t4

Combine like terms: -25 + 25 = 0
25 + -4t2 + -4t3 + -1t4 = 0 + 4t2 + -4t2 + 4t3 + -4t3 + t4 + -1t4
25 + -4t2 + -4t3 + -1t4 = 4t2 + -4t2 + 4t3 + -4t3 + t4 + -1t4

Combine like terms: 4t2 + -4t2 = 0
25 + -4t2 + -4t3 + -1t4 = 0 + 4t3 + -4t3 + t4 + -1t4
25 + -4t2 + -4t3 + -1t4 = 4t3 + -4t3 + t4 + -1t4

Combine like terms: 4t3 + -4t3 = 0
25 + -4t2 + -4t3 + -1t4 = 0 + t4 + -1t4
25 + -4t2 + -4t3 + -1t4 = t4 + -1t4

Combine like terms: t4 + -1t4 = 0
25 + -4t2 + -4t3 + -1t4 = 0

The solution to this equation could not be determined.

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