7x^2-8x-44=0

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Solution for 7x^2-8x-44=0 equation: 


Simplifying
7x2 + -8x + -44 = 0

Reorder the terms:
-44 + -8x + 7x2 = 0

Solving
-44 + -8x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x)(22 + -7x) = 0


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(22 + -7x)' equal to zero and attempt to solve:

Simplifying
22 + -7x = 0

Solving
22 + -7x = 0

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

Add '-22' to each side of the equation.
22 + -22 + -7x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -7x = 0 + -22
-7x = 0 + -22

Combine like terms: 0 + -22 = -22
-7x = -22

Divide each side by '-7'.
x = 3.142857143

Simplifying
x = 3.142857143
Solution
x = {-2, 3.142857143}

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