=(5x*2x)+(5x*-6)

Solution for =(5x*2x)+(5x*-6) equation:

Simplifying
0 = (5x * 2x) + (5x * -6)

Reorder the terms for easier multiplication:
0 = (5 * 2x * x) + (5x * -6)

Multiply 5 * 2
0 = (10x * x) + (5x * -6)

Multiply x * x
0 = (10x2) + (5x * -6)

Reorder the terms for easier multiplication:
0 = (10x2) + (5 * -6x)

Multiply 5 * -6
0 = (10x2) + (-30x)

Reorder the terms:
0 = (-30x) + (10x2)

Solving
0 = (-30x) + (10x2)

Solving for variable 'x'.
Remove the zero:
(30x) + (-10x2) = (-30x) + (10x2) + (30x) + (-10x2)

Reorder the terms:
(30x) + (-10x2) = (-30x) + (30x) + (10x2) + (-10x2)

Combine like terms: (-30x) + (30x) = 0
(30x) + (-10x2) = 0 + (10x2) + (-10x2)
(30x) + (-10x2) = (10x2) + (-10x2)

Combine like terms: (10x2) + (-10x2) = 0
(30x) + (-10x2) = 0

Factor out the Greatest Common Factor (GCF), '10x'.
10x(3 + (-1x)) = 0

Ignore the factor 10.
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 '(3 + (-1x))' equal to zero and attempt to solve:

Simplifying
3 + (-1x) = 0

Solving
3 + (-1x) = 0

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

Add '-3' to each side of the equation.
3 + -3 + (-1x) = 0 + -3

Combine like terms: 3 + -3 = 0
0 + (-1x) = 0 + -3
(-1x) = 0 + -3

Combine like terms: 0 + -3 = -3
(-1x) = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {0, 3}