2t^2(t^2-2)=63-9t^2

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Solution for 2t^2(t^2-2)=63-9t^2 equation: 


Simplifying
2t2(t2 + -2) = 63 + -9t2

Reorder the terms:
2t2(-2 + t2) = 63 + -9t2
(-2 * 2t2 + t2 * 2t2) = 63 + -9t2
(-4t2 + 2t4) = 63 + -9t2

Solving
-4t2 + 2t4 = 63 + -9t2

Solving for variable 't'.

Reorder the terms:
-63 + -4t2 + 9t2 + 2t4 = 63 + -9t2 + -63 + 9t2

Combine like terms: -4t2 + 9t2 = 5t2
-63 + 5t2 + 2t4 = 63 + -9t2 + -63 + 9t2

Reorder the terms:
-63 + 5t2 + 2t4 = 63 + -63 + -9t2 + 9t2

Combine like terms: 63 + -63 = 0
-63 + 5t2 + 2t4 = 0 + -9t2 + 9t2
-63 + 5t2 + 2t4 = -9t2 + 9t2

Combine like terms: -9t2 + 9t2 = 0
-63 + 5t2 + 2t4 = 0

Factor a trinomial.
(-7 + -1t2)(9 + -2t2) = 0


Subproblem 1
Set the factor '(-7 + -1t2)' equal to zero and attempt to solve:

Simplifying
-7 + -1t2 = 0

Solving
-7 + -1t2 = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1t2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1t2 = 0 + 7
-1t2 = 0 + 7

Combine like terms: 0 + 7 = 7
-1t2 = 7

Divide each side by '-1'.
t2 = -7

Simplifying
t2 = -7

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 '(9 + -2t2)' equal to zero and attempt to solve:

Simplifying
9 + -2t2 = 0

Solving
9 + -2t2 = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2t2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2t2 = 0 + -9
-2t2 = 0 + -9

Combine like terms: 0 + -9 = -9
-2t2 = -9

Divide each side by '-2'.
t2 = 4.5

Simplifying
t2 = 4.5

Take the square root of each side:
t = {-2.121320344, 2.121320344}
Solution
t = {-2.121320344, 2.121320344}

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