5x(4x+1)=-16x-4

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Solution for 5x(4x+1)=-16x-4 equation: 


Simplifying
5x(4x + 1) = -16x + -4

Reorder the terms:
5x(1 + 4x) = -16x + -4
(1 * 5x + 4x * 5x) = -16x + -4
(5x + 20x2) = -16x + -4

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

Solving
5x + 20x2 = -4 + -16x

Solving for variable 'x'.

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

Combine like terms: 5x + 16x = 21x
4 + 21x + 20x2 = -4 + -16x + 4 + 16x

Reorder the terms:
4 + 21x + 20x2 = -4 + 4 + -16x + 16x

Combine like terms: -4 + 4 = 0
4 + 21x + 20x2 = 0 + -16x + 16x
4 + 21x + 20x2 = -16x + 16x

Combine like terms: -16x + 16x = 0
4 + 21x + 20x2 = 0

Factor a trinomial.
(4 + 5x)(1 + 4x) = 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 '(1 + 4x)' equal to zero and attempt to solve:

Simplifying
1 + 4x = 0

Solving
1 + 4x = 0

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

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

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

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

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25
Solution
x = {-0.8, -0.25}

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