(5a^2)x(-2b^2)x(3b)+(7a^2)x(2b^2)+(-3a)x(-5a)x(4b)=

Solution for (5a^2)x(-2b^2)x(3b)+(7a^2)x(2b^2)+(-3a)x(-5a)x(4b)= equation:

Simplifying
(5a2) * x(-2b2) * x(3b) + (7a2) * x(2b2) + (-3a) * x(-5a) * x(4b) = 0

Remove parenthesis around (5a2)
5a2 * x(-2b2) * x(3b) + (7a2) * x(2b2) + (-3a) * x(-5a) * x(4b) = 0

Remove parenthesis around (-2b2)
5a2 * x * -2b2 * x(3b) + (7a2) * x(2b2) + (-3a) * x(-5a) * x(4b) = 0

Remove parenthesis around (3b)
5a2 * x * -2b2 * x * 3b + (7a2) * x(2b2) + (-3a) * x(-5a) * x(4b) = 0

Reorder the terms for easier multiplication:
5 * -2 * 3a2 * x * b2 * x * b + (7a2) * x(2b2) + (-3a) * x(-5a) * x(4b) = 0

Multiply 5 * -2
-10 * 3a2 * x * b2 * x * b + (7a2) * x(2b2) + (-3a) * x(-5a) * x(4b) = 0

Multiply -10 * 3
-30a2 * x * b2 * x * b + (7a2) * x(2b2) + (-3a) * x(-5a) * x(4b) = 0

Multiply a2 * x
-30a2x * b2 * x * b + (7a2) * x(2b2) + (-3a) * x(-5a) * x(4b) = 0

Multiply a2x * b2
-30a2b2x * x * b + (7a2) * x(2b2) + (-3a) * x(-5a) * x(4b) = 0

Multiply a2b2x * x
-30a2b2x2 * b + (7a2) * x(2b2) + (-3a) * x(-5a) * x(4b) = 0

Multiply a2b2x2 * b
-30a2b3x2 + (7a2) * x(2b2) + (-3a) * x(-5a) * x(4b) = 0

Remove parenthesis around (7a2)
-30a2b3x2 + 7a2 * x(2b2) + (-3a) * x(-5a) * x(4b) = 0

Remove parenthesis around (2b2)
-30a2b3x2 + 7a2 * x * 2b2 + (-3a) * x(-5a) * x(4b) = 0

Reorder the terms for easier multiplication:
-30a2b3x2 + 7 * 2a2 * x * b2 + (-3a) * x(-5a) * x(4b) = 0

Multiply 7 * 2
-30a2b3x2 + 14a2 * x * b2 + (-3a) * x(-5a) * x(4b) = 0

Multiply a2 * x
-30a2b3x2 + 14a2x * b2 + (-3a) * x(-5a) * x(4b) = 0

Multiply a2x * b2
-30a2b3x2 + 14a2b2x + (-3a) * x(-5a) * x(4b) = 0

Remove parenthesis around (-3a)
-30a2b3x2 + 14a2b2x + -3a * x(-5a) * x(4b) = 0

Remove parenthesis around (-5a)
-30a2b3x2 + 14a2b2x + -3a * x * -5a * x(4b) = 0

Remove parenthesis around (4b)
-30a2b3x2 + 14a2b2x + -3a * x * -5a * x * 4b = 0

Reorder the terms for easier multiplication:
-30a2b3x2 + 14a2b2x + -3 * -5 * 4a * x * a * x * b = 0

Multiply -3 * -5
-30a2b3x2 + 14a2b2x + 15 * 4a * x * a * x * b = 0

Multiply 15 * 4
-30a2b3x2 + 14a2b2x + 60a * x * a * x * b = 0

Multiply a * x
-30a2b3x2 + 14a2b2x + 60ax * a * x * b = 0

Multiply ax * a
-30a2b3x2 + 14a2b2x + 60a2x * x * b = 0

Multiply a2x * x
-30a2b3x2 + 14a2b2x + 60a2x2 * b = 0

Multiply a2x2 * b
-30a2b3x2 + 14a2b2x + 60a2bx2 = 0

Reorder the terms:
60a2bx2 + 14a2b2x + -30a2b3x2 = 0

Solving
60a2bx2 + 14a2b2x + -30a2b3x2 = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), '2a2bx'.
2a2bx(30x + 7b + -15b2x) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'a2bx' equal to zero and attempt to solve:

Simplifying
a2bx = 0

Solving
a2bx = 0

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

Simplifying
a2bx = 0

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 '(30x + 7b + -15b2x)' equal to zero and attempt to solve:

Simplifying
30x + 7b + -15b2x = 0

Reorder the terms:
7b + -15b2x + 30x = 0

Solving
7b + -15b2x + 30x = 0

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

Add '-7b' to each side of the equation.
7b + -15b2x + -7b + 30x = 0 + -7b

Reorder the terms:
7b + -7b + -15b2x + 30x = 0 + -7b

Combine like terms: 7b + -7b = 0
0 + -15b2x + 30x = 0 + -7b
-15b2x + 30x = 0 + -7b
Remove the zero:
-15b2x + 30x = -7b

Add '15b2x' to each side of the equation.
-15b2x + 15b2x + 30x = -7b + 15b2x

Combine like terms: -15b2x + 15b2x = 0
0 + 30x = -7b + 15b2x
30x = -7b + 15b2x

Add '-30x' to each side of the equation.
30x + -30x = -7b + 15b2x + -30x

Combine like terms: 30x + -30x = 0
0 = -7b + 15b2x + -30x

Simplifying
0 = -7b + 15b2x + -30x

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.