11x^2=26x+21

Solution for 11x^2=26x+21 equation:

Simplifying
11x2 = 26x + 21

Reorder the terms:
11x2 = 21 + 26x

Solving
11x2 = 21 + 26x

Solving for variable 'x'.

Reorder the terms:
-21 + -26x + 11x2 = 21 + 26x + -21 + -26x

Reorder the terms:
-21 + -26x + 11x2 = 21 + -21 + 26x + -26x

Combine like terms: 21 + -21 = 0
-21 + -26x + 11x2 = 0 + 26x + -26x
-21 + -26x + 11x2 = 26x + -26x

Combine like terms: 26x + -26x = 0
-21 + -26x + 11x2 = 0

Factor a trinomial.
(-7 + -11x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-7 + -11x)' equal to zero and attempt to solve:

Simplifying
-7 + -11x = 0

Solving
-7 + -11x = 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 + -11x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -11x = 0 + 7
-11x = 0 + 7

Combine like terms: 0 + 7 = 7
-11x = 7

Divide each side by '-11'.
x = -0.6363636364

Simplifying
x = -0.6363636364
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-0.6363636364, 3}