2x^2-26x-29=x

Solution for 2x^2-26x-29=x equation:

Simplifying
2x2 + -26x + -29 = x

Reorder the terms:
-29 + -26x + 2x2 = x

Solving
-29 + -26x + 2x2 = x

Solving for variable 'x'.

Reorder the terms:
-29 + -26x + -1x + 2x2 = x + -1x

Combine like terms: -26x + -1x = -27x
-29 + -27x + 2x2 = x + -1x

Combine like terms: x + -1x = 0
-29 + -27x + 2x2 = 0

Factor a trinomial.
(-1 + -1x)(29 + -2x) = 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 '(29 + -2x)' equal to zero and attempt to solve:

Simplifying
29 + -2x = 0

Solving
29 + -2x = 0

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

Add '-29' to each side of the equation.
29 + -29 + -2x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -2x = 0 + -29
-2x = 0 + -29

Combine like terms: 0 + -29 = -29
-2x = -29

Divide each side by '-2'.
x = 14.5

Simplifying
x = 14.5
Solution
x = {-1, 14.5}