5x^2-10x-44=-4

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Solution for 5x^2-10x-44=-4 equation: 


Simplifying
5x2 + -10x + -44 = -4

Reorder the terms:
-44 + -10x + 5x2 = -4

Solving
-44 + -10x + 5x2 = -4

Solving for variable 'x'.

Reorder the terms:
-44 + 4 + -10x + 5x2 = -4 + 4

Combine like terms: -44 + 4 = -40
-40 + -10x + 5x2 = -4 + 4

Combine like terms: -4 + 4 = 0
-40 + -10x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-8 + -2x + x2) = 0

Factor a trinomial.
5((-2 + -1x)(4 + -1x)) = 0

Ignore the factor 5.

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 '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-2, 4}

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