0=10x^2-13x+3

Solution for 0=10x^2-13x+3 equation:

Simplifying
0 = 10x2 + -13x + 3

Reorder the terms:
0 = 3 + -13x + 10x2

Solving
0 = 3 + -13x + 10x2

Solving for variable 'x'.

Combine like terms: 0 + -3 = -3
-3 + 13x + -10x2 = 3 + -13x + 10x2 + -3 + 13x + -10x2

Reorder the terms:
-3 + 13x + -10x2 = 3 + -3 + -13x + 13x + 10x2 + -10x2

Combine like terms: 3 + -3 = 0
-3 + 13x + -10x2 = 0 + -13x + 13x + 10x2 + -10x2
-3 + 13x + -10x2 = -13x + 13x + 10x2 + -10x2

Combine like terms: -13x + 13x = 0
-3 + 13x + -10x2 = 0 + 10x2 + -10x2
-3 + 13x + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
-3 + 13x + -10x2 = 0

Factor a trinomial.
(-1 + x)(3 + -10x) = 0

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

Simplifying
-1 + x = 0

Solving
-1 + x = 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 + x = 0 + 1

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

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

Simplifying
x = 1
Subproblem 2
Set the factor '(3 + -10x)' equal to zero and attempt to solve:

Simplifying
3 + -10x = 0

Solving
3 + -10x = 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 + -10x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -10x = 0 + -3
-10x = 0 + -3

Combine like terms: 0 + -3 = -3
-10x = -3

Divide each side by '-10'.
x = 0.3

Simplifying
x = 0.3
Solution
x = {1, 0.3}