(x+6)(x-4)=11

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Solution for (x+6)(x-4)=11 equation: 


Simplifying
(x + 6)(x + -4) = 11

Reorder the terms:
(6 + x)(x + -4) = 11

Reorder the terms:
(6 + x)(-4 + x) = 11

Multiply (6 + x) * (-4 + x)
(6(-4 + x) + x(-4 + x)) = 11
((-4 * 6 + x * 6) + x(-4 + x)) = 11
((-24 + 6x) + x(-4 + x)) = 11
(-24 + 6x + (-4 * x + x * x)) = 11
(-24 + 6x + (-4x + x2)) = 11

Combine like terms: 6x + -4x = 2x
(-24 + 2x + x2) = 11

Solving
-24 + 2x + x2 = 11

Solving for variable 'x'.

Reorder the terms:
-24 + -11 + 2x + x2 = 11 + -11

Combine like terms: -24 + -11 = -35
-35 + 2x + x2 = 11 + -11

Combine like terms: 11 + -11 = 0
-35 + 2x + x2 = 0

Factor a trinomial.
(-7 + -1x)(5 + -1x) = 0


Subproblem 1
Set 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 = -7

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

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

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

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

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-7, 5}

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