x^2-2x=10*7x

Solution for x^2-2x=10*7x equation:

Simplifying
x2 + -2x = 10 * 7x

Reorder the terms:
-2x + x2 = 10 * 7x

Multiply 10 * 7
-2x + x2 = 70x

Solving
-2x + x2 = 70x

Solving for variable 'x'.

Reorder the terms:
-2x + -70x + x2 = 70x + -70x

Combine like terms: -2x + -70x = -72x
-72x + x2 = 70x + -70x

Combine like terms: 70x + -70x = 0
-72x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-72 + x) = 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 '(-72 + x)' equal to zero and attempt to solve:

Simplifying
-72 + x = 0

Solving
-72 + x = 0

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

Add '72' to each side of the equation.
-72 + 72 + x = 0 + 72

Combine like terms: -72 + 72 = 0
0 + x = 0 + 72
x = 0 + 72

Combine like terms: 0 + 72 = 72
x = 72

Simplifying
x = 72
Solution
x = {0, 72}