4x(2x+1)=3x

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Solution for 4x(2x+1)=3x equation: 


Simplifying
4x(2x + 1) = 3x

Reorder the terms:
4x(1 + 2x) = 3x
(1 * 4x + 2x * 4x) = 3x
(4x + 8x2) = 3x

Solving
4x + 8x2 = 3x

Solving for variable 'x'.

Reorder the terms:
4x + -3x + 8x2 = 3x + -3x

Combine like terms: 4x + -3x = 1x
1x + 8x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
1x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + 8x) = 0


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 '(1 + 8x)' equal to zero and attempt to solve:

Simplifying
1 + 8x = 0

Solving
1 + 8x = 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 + 8x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = 0 + -1
8x = 0 + -1

Combine like terms: 0 + -1 = -1
8x = -1

Divide each side by '8'.
x = -0.125

Simplifying
x = -0.125
Solution
x = {0, -0.125}

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