5*x*x-410x+300=300

Solution for 5*x*x-410x+300=300 equation:

Simplifying
5x * x + -410x + 300 = 300

Multiply x * x
5x2 + -410x + 300 = 300

Reorder the terms:
300 + -410x + 5x2 = 300

Add '-300' to each side of the equation.
300 + -410x + -300 + 5x2 = 300 + -300

Reorder the terms:
300 + -300 + -410x + 5x2 = 300 + -300

Combine like terms: 300 + -300 = 0
0 + -410x + 5x2 = 300 + -300
-410x + 5x2 = 300 + -300

Combine like terms: 300 + -300 = 0
-410x + 5x2 = 0

Solving
-410x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-82 + 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 '(-82 + x)' equal to zero and attempt to solve:

Simplifying
-82 + x = 0

Solving
-82 + x = 0

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

Add '82' to each side of the equation.
-82 + 82 + x = 0 + 82

Combine like terms: -82 + 82 = 0
0 + x = 0 + 82
x = 0 + 82

Combine like terms: 0 + 82 = 82
x = 82

Simplifying
x = 82
Solution
x = {0, 82}