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 + -5x)(3 + 2x) = 0

Subproblem 1
Set the factor '(1 + -5x)' equal to zero and attempt to solve:

Simplifying
1 + -5x = 0

Solving
1 + -5x = 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 + -5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 0 + -1
-5x = 0 + -1

Combine like terms: 0 + -1 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2
Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {0.2, -1.5}