2x(x-1)79(x-10)=

Solution for 2x(x-1)79(x-10)= equation:

Simplifying
2x(x + -1) * 79(x + -10) = 0

Reorder the terms:
2x(-1 + x) * 79(x + -10) = 0

Reorder the terms:
2x(-1 + x) * 79(-10 + x) = 0

Reorder the terms for easier multiplication:
2 * 79x(-1 + x)(-10 + x) = 0

Multiply 2 * 79
158x(-1 + x)(-10 + x) = 0

Multiply (-1 + x) * (-10 + x)
158x(-1(-10 + x) + x(-10 + x)) = 0
158x((-10 * -1 + x * -1) + x(-10 + x)) = 0
158x((10 + -1x) + x(-10 + x)) = 0
158x(10 + -1x + (-10 * x + x * x)) = 0
158x(10 + -1x + (-10x + x2)) = 0

Combine like terms: -1x + -10x = -11x
158x(10 + -11x + x2) = 0
(10 * 158x + -11x * 158x + x2 * 158x) = 0
(1580x + -1738x2 + 158x3) = 0

Solving
1580x + -1738x2 + 158x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '158x'.
158x(10 + -11x + x2) = 0

Factor a trinomial.
158x((1 + -1x)(10 + -1x)) = 0

Ignore the factor 158.
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 '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

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

Simplifying
x = 1
Subproblem 3
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {0, 1, 10}