# x^2-10-4x-11=0

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## Solution for x^2-10-4x-11=0 equation:

Simplifying
x2 + -10 + -4x + -11 = 0

Reorder the terms:
-10 + -11 + -4x + x2 = 0

Combine like terms: -10 + -11 = -21
-21 + -4x + x2 = 0

Solving
-21 + -4x + x2 = 0

Solving for variable 'x'.

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

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

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7Solutionx = {-3, 7}`