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

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


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

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

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

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

Combine like terms: -4x + 3x = -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.
(-7 + -1x)(8 + -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 '(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
Solution
x = {-7, 8}

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