-15*t^4+28*radq(3)*t^3-38*t^2+4*radq(3)*t+1=0

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Solution for -15*t^4+28*radq(3)*t^3-38*t^2+4*radq(3)*t+1=0 equation: 


Simplifying
-15t4 + 28radq(3) * t3 + -38t2 + 4radq(3) * t + 1 = 0

Reorder the terms for easier multiplication:
-15t4 + 28 * 3adqr * t3 + -38t2 + 4radq(3) * t + 1 = 0

Multiply 28 * 3
-15t4 + 84adqr * t3 + -38t2 + 4radq(3) * t + 1 = 0

Multiply adqr * t3
-15t4 + 84adqrt3 + -38t2 + 4radq(3) * t + 1 = 0

Reorder the terms for easier multiplication:
-15t4 + 84adqrt3 + -38t2 + 4 * 3adqr * t + 1 = 0

Multiply 4 * 3
-15t4 + 84adqrt3 + -38t2 + 12adqr * t + 1 = 0

Multiply adqr * t
-15t4 + 84adqrt3 + -38t2 + 12adqrt + 1 = 0

Reorder the terms:
1 + 12adqrt + 84adqrt3 + -38t2 + -15t4 = 0

Solving
1 + 12adqrt + 84adqrt3 + -38t2 + -15t4 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + 12adqrt + 84adqrt3 + -38t2 + -1 + -15t4 = 0 + -1

Reorder the terms:
1 + -1 + 12adqrt + 84adqrt3 + -38t2 + -15t4 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 12adqrt + 84adqrt3 + -38t2 + -15t4 = 0 + -1
12adqrt + 84adqrt3 + -38t2 + -15t4 = 0 + -1

Combine like terms: 0 + -1 = -1
12adqrt + 84adqrt3 + -38t2 + -15t4 = -1

Add '38t2' to each side of the equation.
12adqrt + 84adqrt3 + -38t2 + 38t2 + -15t4 = -1 + 38t2

Combine like terms: -38t2 + 38t2 = 0
12adqrt + 84adqrt3 + 0 + -15t4 = -1 + 38t2
12adqrt + 84adqrt3 + -15t4 = -1 + 38t2

Add '15t4' to each side of the equation.
12adqrt + 84adqrt3 + -15t4 + 15t4 = -1 + 38t2 + 15t4

Combine like terms: -15t4 + 15t4 = 0
12adqrt + 84adqrt3 + 0 = -1 + 38t2 + 15t4
12adqrt + 84adqrt3 = -1 + 38t2 + 15t4

Reorder the terms:
1 + 12adqrt + 84adqrt3 + -38t2 + -15t4 = -1 + 38t2 + 15t4 + 1 + -38t2 + -15t4

Reorder the terms:
1 + 12adqrt + 84adqrt3 + -38t2 + -15t4 = -1 + 1 + 38t2 + -38t2 + 15t4 + -15t4

Combine like terms: -1 + 1 = 0
1 + 12adqrt + 84adqrt3 + -38t2 + -15t4 = 0 + 38t2 + -38t2 + 15t4 + -15t4
1 + 12adqrt + 84adqrt3 + -38t2 + -15t4 = 38t2 + -38t2 + 15t4 + -15t4

Combine like terms: 38t2 + -38t2 = 0
1 + 12adqrt + 84adqrt3 + -38t2 + -15t4 = 0 + 15t4 + -15t4
1 + 12adqrt + 84adqrt3 + -38t2 + -15t4 = 15t4 + -15t4

Combine like terms: 15t4 + -15t4 = 0
1 + 12adqrt + 84adqrt3 + -38t2 + -15t4 = 0

The solution to this equation could not be determined.

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