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

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


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

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

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

Multiply (4 + 5x) * (-4 + x)
(4(-4 + x) + 5x * (-4 + x)) = 0
((-4 * 4 + x * 4) + 5x * (-4 + x)) = 0
((-16 + 4x) + 5x * (-4 + x)) = 0
(-16 + 4x + (-4 * 5x + x * 5x)) = 0
(-16 + 4x + (-20x + 5x2)) = 0

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

Solving
-16 + -16x + 5x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

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 = {-0.8, 4}

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