5x(4y+6)-7x(-5y-4)=

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Solution for 5x(4y+6)-7x(-5y-4)= equation: 


Simplifying
5x(4y + 6) + -7x(-5y + -4) = 0

Reorder the terms:
5x(6 + 4y) + -7x(-5y + -4) = 0
(6 * 5x + 4y * 5x) + -7x(-5y + -4) = 0
(30x + 20xy) + -7x(-5y + -4) = 0

Reorder the terms:
30x + 20xy + -7x(-4 + -5y) = 0
30x + 20xy + (-4 * -7x + -5y * -7x) = 0
30x + 20xy + (28x + 35xy) = 0

Reorder the terms:
30x + 28x + 20xy + 35xy = 0

Combine like terms: 30x + 28x = 58x
58x + 20xy + 35xy = 0

Combine like terms: 20xy + 35xy = 55xy
58x + 55xy = 0

Solving
58x + 55xy = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(58 + 55y) = 0


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 '(58 + 55y)' equal to zero and attempt to solve:

Simplifying
58 + 55y = 0

Solving
58 + 55y = 0

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

Add '-58' to each side of the equation.
58 + -58 + 55y = 0 + -58

Combine like terms: 58 + -58 = 0
0 + 55y = 0 + -58
55y = 0 + -58

Combine like terms: 0 + -58 = -58
55y = -58

Add '-55y' to each side of the equation.
55y + -55y = -58 + -55y

Combine like terms: 55y + -55y = 0
0 = -58 + -55y

Simplifying
0 = -58 + -55y

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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