15X^4-(30X^2)(L^2)+7=0

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Solution for 15X^4-(30X^2)(L^2)+7=0 equation: 


Simplifying
15X4 + -1(30X2)(L2) + 7 = 0

Remove parenthesis around (30X2)
15X4 + -1 * 30X2(L2) + 7 = 0

Multiply -1 * 30
15X4 + -30X2 * L2 + 7 = 0

Multiply X2 * L2
15X4 + -30L2X2 + 7 = 0

Reorder the terms:
7 + -30L2X2 + 15X4 = 0

Solving
7 + -30L2X2 + 15X4 = 0

Solving for variable 'L'.

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

Add '-7' to each side of the equation.
7 + -30L2X2 + -7 + 15X4 = 0 + -7

Reorder the terms:
7 + -7 + -30L2X2 + 15X4 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -30L2X2 + 15X4 = 0 + -7
-30L2X2 + 15X4 = 0 + -7

Combine like terms: 0 + -7 = -7
-30L2X2 + 15X4 = -7

Add '-15X4' to each side of the equation.
-30L2X2 + 15X4 + -15X4 = -7 + -15X4

Combine like terms: 15X4 + -15X4 = 0
-30L2X2 + 0 = -7 + -15X4
-30L2X2 = -7 + -15X4

Divide each side by '-30X2'.
L2 = 0.2333333333X-2 + 0.5X2

Simplifying
L2 = 0.2333333333X-2 + 0.5X2

Reorder the terms:
L2 + -0.2333333333X-2 + -0.5X2 = 0.2333333333X-2 + -0.2333333333X-2 + 0.5X2 + -0.5X2

Combine like terms: 0.2333333333X-2 + -0.2333333333X-2 = 0.0000000000
L2 + -0.2333333333X-2 + -0.5X2 = 0.0000000000 + 0.5X2 + -0.5X2
L2 + -0.2333333333X-2 + -0.5X2 = 0.5X2 + -0.5X2

Combine like terms: 0.5X2 + -0.5X2 = 0.0
L2 + -0.2333333333X-2 + -0.5X2 = 0.0

Factor out the Greatest Common Factor (GCF), 'X-2'.
X-2(L2X2 + -0.2333333333 + -0.5X4) = 0.0


Subproblem 1
Set the factor 'X-2' equal to zero and attempt to solve:

Simplifying
X-2 = 0

Solving
X-2 = 0

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

Add '-1X-2' to each side of the equation.
X-2 + -1X-2 = 0 + -1X-2
Remove the zero:
0 = -1X-2

Simplifying
0 = -1X-2

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 '(L2X2 + -0.2333333333 + -0.5X4)' equal to zero and attempt to solve:

Simplifying
L2X2 + -0.2333333333 + -0.5X4 = 0

Reorder the terms:
-0.2333333333 + L2X2 + -0.5X4 = 0

Solving
-0.2333333333 + L2X2 + -0.5X4 = 0

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

Add '0.2333333333' to each side of the equation.
-0.2333333333 + L2X2 + 0.2333333333 + -0.5X4 = 0 + 0.2333333333

Reorder the terms:
-0.2333333333 + 0.2333333333 + L2X2 + -0.5X4 = 0 + 0.2333333333

Combine like terms: -0.2333333333 + 0.2333333333 = 0.0000000000
0.0000000000 + L2X2 + -0.5X4 = 0 + 0.2333333333
L2X2 + -0.5X4 = 0 + 0.2333333333

Combine like terms: 0 + 0.2333333333 = 0.2333333333
L2X2 + -0.5X4 = 0.2333333333

Add '0.5X4' to each side of the equation.
L2X2 + -0.5X4 + 0.5X4 = 0.2333333333 + 0.5X4

Combine like terms: -0.5X4 + 0.5X4 = 0.0
L2X2 + 0.0 = 0.2333333333 + 0.5X4
L2X2 = 0.2333333333 + 0.5X4

Divide each side by 'X2'.
L2 = 0.2333333333X-2 + 0.5X2

Simplifying
L2 = 0.2333333333X-2 + 0.5X2

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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