(x-2)(x+4)=55

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Solution for (x-2)(x+4)=55 equation: 


Simplifying
(x + -2)(x + 4) = 55

Reorder the terms:
(-2 + x)(x + 4) = 55

Reorder the terms:
(-2 + x)(4 + x) = 55

Multiply (-2 + x) * (4 + x)
(-2(4 + x) + x(4 + x)) = 55
((4 * -2 + x * -2) + x(4 + x)) = 55
((-8 + -2x) + x(4 + x)) = 55
(-8 + -2x + (4 * x + x * x)) = 55
(-8 + -2x + (4x + x2)) = 55

Combine like terms: -2x + 4x = 2x
(-8 + 2x + x2) = 55

Solving
-8 + 2x + x2 = 55

Solving for variable 'x'.

Reorder the terms:
-8 + -55 + 2x + x2 = 55 + -55

Combine like terms: -8 + -55 = -63
-63 + 2x + x2 = 55 + -55

Combine like terms: 55 + -55 = 0
-63 + 2x + x2 = 0

Factor a trinomial.
(-9 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

Subproblem 2
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
Solution
x = {-9, 7}

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