2x^2(1+3x)+5x^7(1+3x)=0

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Solution for 2x^2(1+3x)+5x^7(1+3x)=0 equation: 


Simplifying
2x2(1 + 3x) + 5x7(1 + 3x) = 0
(1 * 2x2 + 3x * 2x2) + 5x7(1 + 3x) = 0
(2x2 + 6x3) + 5x7(1 + 3x) = 0
2x2 + 6x3 + (1 * 5x7 + 3x * 5x7) = 0
2x2 + 6x3 + (5x7 + 15x8) = 0

Solving
2x2 + 6x3 + 5x7 + 15x8 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(2 + 6x + 5x5 + 15x6) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(2 + 6x + 5x5 + 15x6)' equal to zero and attempt to solve:

Simplifying
2 + 6x + 5x5 + 15x6 = 0

Solving
2 + 6x + 5x5 + 15x6 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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