(x-3)(x+4)=44

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Solution for (x-3)(x+4)=44 equation: 


Simplifying
(x + -3)(x + 4) = 44

Reorder the terms:
(-3 + x)(x + 4) = 44

Reorder the terms:
(-3 + x)(4 + x) = 44

Multiply (-3 + x) * (4 + x)
(-3(4 + x) + x(4 + x)) = 44
((4 * -3 + x * -3) + x(4 + x)) = 44
((-12 + -3x) + x(4 + x)) = 44
(-12 + -3x + (4 * x + x * x)) = 44
(-12 + -3x + (4x + x2)) = 44

Combine like terms: -3x + 4x = 1x
(-12 + 1x + x2) = 44

Solving
-12 + 1x + x2 = 44

Solving for variable 'x'.

Reorder the terms:
-12 + -44 + 1x + x2 = 44 + -44

Combine like terms: -12 + -44 = -56
-56 + 1x + x2 = 44 + -44

Combine like terms: 44 + -44 = 0
-56 + 1x + x2 = 0

Factor a trinomial.
(-8 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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 = {-8, 7}

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