2x(4x+1)=3x

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


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

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

Solving
2x + 8x2 = 3x

Solving for variable 'x'.

Reorder the terms:
2x + -3x + 8x2 = 3x + -3x

Combine like terms: 2x + -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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