13x^2+112x=276

Solution for 13x^2+112x=276 equation:

Simplifying
13x2 + 112x = 276

Reorder the terms:
112x + 13x2 = 276

Solving
112x + 13x2 = 276

Solving for variable 'x'.

Reorder the terms:
-276 + 112x + 13x2 = 276 + -276

Combine like terms: 276 + -276 = 0
-276 + 112x + 13x2 = 0

Factor a trinomial.
(-138 + -13x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-138 + -13x)' equal to zero and attempt to solve:

Simplifying
-138 + -13x = 0

Solving
-138 + -13x = 0

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

Add '138' to each side of the equation.
-138 + 138 + -13x = 0 + 138

Combine like terms: -138 + 138 = 0
0 + -13x = 0 + 138
-13x = 0 + 138

Combine like terms: 0 + 138 = 138
-13x = 138

Divide each side by '-13'.
x = -10.61538462

Simplifying
x = -10.61538462
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-10.61538462, 2}