100*e^10*l*(6*l*(6*l-110)+3006)-3000=0

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Solution for 100*e^10*l*(6*l*(6*l-110)+3006)-3000=0 equation:


Simplifying
100e10 * l(6l(6l + -110) + 3006) + -3000 = 0

Reorder the terms:
100e10 * l(6l(-110 + 6l) + 3006) + -3000 = 0
100e10 * l((-110 * 6l + 6l * 6l) + 3006) + -3000 = 0
100e10 * l((-660l + 36l2) + 3006) + -3000 = 0

Reorder the terms:
100e10 * l(3006 + -660l + 36l2) + -3000 = 0

Multiply e10 * l
100e10l(3006 + -660l + 36l2) + -3000 = 0
(3006 * 100e10l + -660l * 100e10l + 36l2 * 100e10l) + -3000 = 0
(300600e10l + -66000e10l2 + 3600e10l3) + -3000 = 0

Reorder the terms:
-3000 + 300600e10l + -66000e10l2 + 3600e10l3 = 0

Solving
-3000 + 300600e10l + -66000e10l2 + 3600e10l3 = 0

Solving for variable 'e'.

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

Add '3000' to each side of the equation.
-3000 + 300600e10l + -66000e10l2 + 3000 + 3600e10l3 = 0 + 3000

Reorder the terms:
-3000 + 3000 + 300600e10l + -66000e10l2 + 3600e10l3 = 0 + 3000

Combine like terms: -3000 + 3000 = 0
0 + 300600e10l + -66000e10l2 + 3600e10l3 = 0 + 3000
300600e10l + -66000e10l2 + 3600e10l3 = 0 + 3000

Combine like terms: 0 + 3000 = 3000
300600e10l + -66000e10l2 + 3600e10l3 = 3000

Reorder the terms:
-3000 + 300600e10l + -66000e10l2 + 3600e10l3 = 3000 + -3000

Combine like terms: 3000 + -3000 = 0
-3000 + 300600e10l + -66000e10l2 + 3600e10l3 = 0

Factor out the Greatest Common Factor (GCF), '600'.
600(-5 + 501e10l + -110e10l2 + 6e10l3) = 0

Ignore the factor 600.

Subproblem 1

Set the factor '(-5 + 501e10l + -110e10l2 + 6e10l3)' equal to zero and attempt to solve: Simplifying -5 + 501e10l + -110e10l2 + 6e10l3 = 0 Solving -5 + 501e10l + -110e10l2 + 6e10l3 = 0 Move all terms containing e to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 501e10l + -110e10l2 + 5 + 6e10l3 = 0 + 5 Reorder the terms: -5 + 5 + 501e10l + -110e10l2 + 6e10l3 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 501e10l + -110e10l2 + 6e10l3 = 0 + 5 501e10l + -110e10l2 + 6e10l3 = 0 + 5 Combine like terms: 0 + 5 = 5 501e10l + -110e10l2 + 6e10l3 = 5 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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