5x^2-80=5(x+4)

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Solution for 5x^2-80=5(x+4) equation: 


Simplifying
5x2 + -80 = 5(x + 4)

Reorder the terms:
-80 + 5x2 = 5(x + 4)

Reorder the terms:
-80 + 5x2 = 5(4 + x)
-80 + 5x2 = (4 * 5 + x * 5)
-80 + 5x2 = (20 + 5x)

Solving
-80 + 5x2 = 20 + 5x

Solving for variable 'x'.

Reorder the terms:
-80 + -20 + -5x + 5x2 = 20 + 5x + -20 + -5x

Combine like terms: -80 + -20 = -100
-100 + -5x + 5x2 = 20 + 5x + -20 + -5x

Reorder the terms:
-100 + -5x + 5x2 = 20 + -20 + 5x + -5x

Combine like terms: 20 + -20 = 0
-100 + -5x + 5x2 = 0 + 5x + -5x
-100 + -5x + 5x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-100 + -5x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-20 + -1x + x2) = 0

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

Ignore the factor 5.

Subproblem 1
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

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-4, 5}

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