-11x^2+4x+111=0

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Solution for -11x^2+4x+111=0 equation: 


Simplifying
-11x2 + 4x + 111 = 0

Reorder the terms:
111 + 4x + -11x2 = 0

Solving
111 + 4x + -11x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(37 + -11x)(3 + x) = 0


Subproblem 1
Set the factor '(37 + -11x)' equal to zero and attempt to solve:

Simplifying
37 + -11x = 0

Solving
37 + -11x = 0

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

Add '-37' to each side of the equation.
37 + -37 + -11x = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -11x = 0 + -37
-11x = 0 + -37

Combine like terms: 0 + -37 = -37
-11x = -37

Divide each side by '-11'.
x = 3.363636364

Simplifying
x = 3.363636364

Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

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

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

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

Simplifying
x = -3
Solution
x = {3.363636364, -3}

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