6x(8-13)4x(1x+1+3)=

Solution for 6x(8-13)4x(1x+1+3)= equation:

Simplifying
6x(8 + -13) * 4x(1x + 1 + 3) = 0

Combine like terms: 8 + -13 = -5
6x(-5) * 4x(1x + 1 + 3) = 0

Reorder the terms:
6x * -5 * 4x(1 + 3 + 1x) = 0

Combine like terms: 1 + 3 = 4
6x * -5 * 4x(4 + 1x) = 0

Reorder the terms for easier multiplication:
6 * -5 * 4x * x(4 + 1x) = 0

Multiply 6 * -5
-30 * 4x * x(4 + 1x) = 0

Multiply -30 * 4
-120x * x(4 + 1x) = 0

Multiply x * x
-120x2(4 + 1x) = 0
(4 * -120x2 + 1x * -120x2) = 0
(-480x2 + -120x3) = 0

Solving
-480x2 + -120x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-120x2'.
-120x2(4 + x) = 0

Ignore the factor -120.
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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {0, -4}