5t^4=-19t^2+4

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Solution for 5t^4=-19t^2+4 equation: 


Simplifying
5t4 = -19t2 + 4

Reorder the terms:
5t4 = 4 + -19t2

Solving
5t4 = 4 + -19t2

Solving for variable 't'.

Reorder the terms:
-4 + 19t2 + 5t4 = 4 + -19t2 + -4 + 19t2

Reorder the terms:
-4 + 19t2 + 5t4 = 4 + -4 + -19t2 + 19t2

Combine like terms: 4 + -4 = 0
-4 + 19t2 + 5t4 = 0 + -19t2 + 19t2
-4 + 19t2 + 5t4 = -19t2 + 19t2

Combine like terms: -19t2 + 19t2 = 0
-4 + 19t2 + 5t4 = 0

Factor a trinomial.
(-4 + -1t2)(1 + -5t2) = 0


Subproblem 1
Set the factor '(-4 + -1t2)' equal to zero and attempt to solve:

Simplifying
-4 + -1t2 = 0

Solving
-4 + -1t2 = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1t2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1t2 = 0 + 4
-1t2 = 0 + 4

Combine like terms: 0 + 4 = 4
-1t2 = 4

Divide each side by '-1'.
t2 = -4

Simplifying
t2 = -4

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(1 + -5t2)' equal to zero and attempt to solve:

Simplifying
1 + -5t2 = 0

Solving
1 + -5t2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5t2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5t2 = 0 + -1
-5t2 = 0 + -1

Combine like terms: 0 + -1 = -1
-5t2 = -1

Divide each side by '-5'.
t2 = 0.2

Simplifying
t2 = 0.2

Take the square root of each side:
t = {-0.447213596, 0.447213596}
Solution
t = {-0.447213596, 0.447213596}

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