5x^2-25x+10=10

Solution for 5x^2-25x+10=10 equation:

Simplifying
5x2 + -25x + 10 = 10

Reorder the terms:
10 + -25x + 5x2 = 10

Add '-10' to each side of the equation.
10 + -25x + -10 + 5x2 = 10 + -10

Reorder the terms:
10 + -10 + -25x + 5x2 = 10 + -10

Combine like terms: 10 + -10 = 0
0 + -25x + 5x2 = 10 + -10
-25x + 5x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-25x + 5x2 = 0

Solving
-25x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-5 + x) = 0

Ignore the factor 5.
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 '(-5 + x)' equal to zero and attempt to solve:

Simplifying
-5 + x = 0

Solving
-5 + x = 0

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

Add '5' to each side of the equation.
-5 + 5 + x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + x = 0 + 5
x = 0 + 5

Combine like terms: 0 + 5 = 5
x = 5

Simplifying
x = 5
Solution
x = {0, 5}