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 = -7x
-7x + 8x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-7x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7 + 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 '(-7 + 8x)' equal to zero and attempt to solve:

Simplifying
-7 + 8x = 0

Solving
-7 + 8x = 0

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

Add '7' to each side of the equation.
-7 + 7 + 8x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 8x = 0 + 7
8x = 0 + 7

Combine like terms: 0 + 7 = 7
8x = 7

Divide each side by '8'.
x = 0.875

Simplifying
x = 0.875
Solution
x = {0, 0.875}

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