5x(x+4)-4(x+4)=0

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Solution for 5x(x+4)-4(x+4)=0 equation: 


Simplifying
5x(x + 4) + -4(x + 4) = 0

Reorder the terms:
5x(4 + x) + -4(x + 4) = 0
(4 * 5x + x * 5x) + -4(x + 4) = 0
(20x + 5x2) + -4(x + 4) = 0

Reorder the terms:
20x + 5x2 + -4(4 + x) = 0
20x + 5x2 + (4 * -4 + x * -4) = 0
20x + 5x2 + (-16 + -4x) = 0

Reorder the terms:
-16 + 20x + -4x + 5x2 = 0

Combine like terms: 20x + -4x = 16x
-16 + 16x + 5x2 = 0

Solving
-16 + 16x + 5x2 = 0

Solving for variable 'x'.

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


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 '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 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 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8
Solution
x = {-4, 0.8}

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