3(2x^2-7xy)-5x(3x+4y)=

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

Simplifying
3(2x2 + -7xy) + -5x(3x + 4y) = 0

Reorder the terms:
3(-7xy + 2x2) + -5x(3x + 4y) = 0
(-7xy * 3 + 2x2 * 3) + -5x(3x + 4y) = 0
(-21xy + 6x2) + -5x(3x + 4y) = 0
-21xy + 6x2 + (3x * -5x + 4y * -5x) = 0

Reorder the terms:
-21xy + 6x2 + (-20xy + -15x2) = 0
-21xy + 6x2 + (-20xy + -15x2) = 0

Reorder the terms:
-21xy + -20xy + 6x2 + -15x2 = 0

Combine like terms: -21xy + -20xy = -41xy
-41xy + 6x2 + -15x2 = 0

Combine like terms: 6x2 + -15x2 = -9x2
-41xy + -9x2 = 0

Solving
-41xy + -9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(41y + 9x) = 0

Ignore the factor -1.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(41y + 9x)' equal to zero and attempt to solve:

Simplifying
41y + 9x = 0

Reorder the terms:
9x + 41y = 0

Solving
9x + 41y = 0

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

Add '-41y' to each side of the equation.
9x + 41y + -41y = 0 + -41y

Combine like terms: 41y + -41y = 0
9x + 0 = 0 + -41y
9x = 0 + -41y
Remove the zero:
9x = -41y

Divide each side by '9'.
x = -4.555555556y

Simplifying
x = -4.555555556y
Solution
x = {0, -4.555555556y}