(x+2)(x-5)=44

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Solution for (x+2)(x-5)=44 equation: 


Simplifying
(x + 2)(x + -5) = 44

Reorder the terms:
(2 + x)(x + -5) = 44

Reorder the terms:
(2 + x)(-5 + x) = 44

Multiply (2 + x) * (-5 + x)
(2(-5 + x) + x(-5 + x)) = 44
((-5 * 2 + x * 2) + x(-5 + x)) = 44
((-10 + 2x) + x(-5 + x)) = 44
(-10 + 2x + (-5 * x + x * x)) = 44
(-10 + 2x + (-5x + x2)) = 44

Combine like terms: 2x + -5x = -3x
(-10 + -3x + x2) = 44

Solving
-10 + -3x + x2 = 44

Solving for variable 'x'.

Reorder the terms:
-10 + -44 + -3x + x2 = 44 + -44

Combine like terms: -10 + -44 = -54
-54 + -3x + x2 = 44 + -44

Combine like terms: 44 + -44 = 0
-54 + -3x + x2 = 0

Factor a trinomial.
(-6 + -1x)(9 + -1x) = 0


Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

Subproblem 2
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
Solution
x = {-6, 9}

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