6x+13x^2-7=

Solution for 6x+13x^2-7= equation:

Simplifying
6x + 13x2 + -7 = 0

Reorder the terms:
-7 + 6x + 13x2 = 0

Solving
-7 + 6x + 13x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x)(7 + -13x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(7 + -13x)' equal to zero and attempt to solve:

Simplifying
7 + -13x = 0

Solving
7 + -13x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -13x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -13x = 0 + -7
-13x = 0 + -7

Combine like terms: 0 + -7 = -7
-13x = -7

Divide each side by '-13'.
x = 0.5384615385

Simplifying
x = 0.5384615385
Solution
x = {-1, 0.5384615385}