1.9-1.9*L*L=L*L*9.87

Solution for 1.9-1.9*L*L=L*L*9.87 equation:

Simplifying
1.9 + -1.9L * L = L * L * 9.87

Multiply L * L
1.9 + -1.9L2 = L * L * 9.87

Reorder the terms for easier multiplication:
1.9 + -1.9L2 = 9.87L * L

Multiply L * L
1.9 + -1.9L2 = 9.87L2

Solving
1.9 + -1.9L2 = 9.87L2

Solving for variable 'L'.

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

Add '-9.87L2' to each side of the equation.
1.9 + -1.9L2 + -9.87L2 = 9.87L2 + -9.87L2

Combine like terms: -1.9L2 + -9.87L2 = -11.77L2
1.9 + -11.77L2 = 9.87L2 + -9.87L2

Combine like terms: 9.87L2 + -9.87L2 = 0.00
1.9 + -11.77L2 = 0.00

Add '-1.9' to each side of the equation.
1.9 + -1.9 + -11.77L2 = 0.00 + -1.9

Combine like terms: 1.9 + -1.9 = 0.0
0.0 + -11.77L2 = 0.00 + -1.9
-11.77L2 = 0.00 + -1.9

Combine like terms: 0.00 + -1.9 = -1.9
-11.77L2 = -1.9

Divide each side by '-11.77'.
L2 = 0.1614273577

Simplifying
L2 = 0.1614273577

Take the square root of each side:
L = {-0.401780236, 0.401780236}