(2x)(4x+y+3)=

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Solution for (2x)(4x+y+3)= equation: 


Simplifying
(2x)(4x + y + 3) = 0

Remove parenthesis around (2x)
2x(4x + y + 3) = 0

Reorder the terms:
2x(3 + 4x + y) = 0
(3 * 2x + 4x * 2x + y * 2x) = 0

Reorder the terms:
(6x + 2xy + 8x2) = 0
(6x + 2xy + 8x2) = 0

Solving
6x + 2xy + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(3 + y + 4x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(3 + y + 4x)' equal to zero and attempt to solve:

Simplifying
3 + y + 4x = 0

Reorder the terms:
3 + 4x + y = 0

Solving
3 + 4x + y = 0

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

Add '-3' to each side of the equation.
3 + 4x + -3 + y = 0 + -3

Reorder the terms:
3 + -3 + 4x + y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4x + y = 0 + -3
4x + y = 0 + -3

Combine like terms: 0 + -3 = -3
4x + y = -3

Add '-1y' to each side of the equation.
4x + y + -1y = -3 + -1y

Combine like terms: y + -1y = 0
4x + 0 = -3 + -1y
4x = -3 + -1y

Divide each side by '4'.
x = -0.75 + -0.25y

Simplifying
x = -0.75 + -0.25y
Solution
x = {0, -0.75 + -0.25y}

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