11x+5(12-x^2)=62

Solution for 11x+5(12-x^2)=62 equation:

Simplifying
11x + 5(12 + -1x2) = 62
11x + (12 * 5 + -1x2 * 5) = 62
11x + (60 + -5x2) = 62

Reorder the terms:
60 + 11x + -5x2 = 62

Solving
60 + 11x + -5x2 = 62

Solving for variable 'x'.

Reorder the terms:
60 + -62 + 11x + -5x2 = 62 + -62

Combine like terms: 60 + -62 = -2
-2 + 11x + -5x2 = 62 + -62

Combine like terms: 62 + -62 = 0
-2 + 11x + -5x2 = 0

Factor a trinomial.
(-2 + x)(1 + -5x) = 0

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

Simplifying
-2 + x = 0

Solving
-2 + x = 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 + x = 0 + 2

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

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

Simplifying
x = 2
Subproblem 2
Set the factor '(1 + -5x)' equal to zero and attempt to solve:

Simplifying
1 + -5x = 0

Solving
1 + -5x = 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 + -5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 0 + -1
-5x = 0 + -1

Combine like terms: 0 + -1 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2
Solution
x = {2, 0.2}