10x^2+13x-3=20

Solution for 10x^2+13x-3=20 equation:

Simplifying
10x2 + 13x + -3 = 20

Reorder the terms:
-3 + 13x + 10x2 = 20

Solving
-3 + 13x + 10x2 = 20

Solving for variable 'x'.

Reorder the terms:
-3 + -20 + 13x + 10x2 = 20 + -20

Combine like terms: -3 + -20 = -23
-23 + 13x + 10x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-23 + 13x + 10x2 = 0

Factor a trinomial.
(-23 + -10x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-23 + -10x)' equal to zero and attempt to solve:

Simplifying
-23 + -10x = 0

Solving
-23 + -10x = 0

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

Add '23' to each side of the equation.
-23 + 23 + -10x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -10x = 0 + 23
-10x = 0 + 23

Combine like terms: 0 + 23 = 23
-10x = 23

Divide each side by '-10'.
x = -2.3

Simplifying
x = -2.3
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-2.3, 1}