4x(5x-6)=x

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Solution for 4x(5x-6)=x equation: 


Simplifying
4x(5x + -6) = x

Reorder the terms:
4x(-6 + 5x) = x
(-6 * 4x + 5x * 4x) = x
(-24x + 20x2) = x

Solving
-24x + 20x2 = x

Solving for variable 'x'.

Reorder the terms:
-24x + -1x + 20x2 = x + -1x

Combine like terms: -24x + -1x = -25x
-25x + 20x2 = x + -1x

Combine like terms: x + -1x = 0
-25x + 20x2 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-5 + 4x) = 0

Ignore the factor 5.

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 '(-5 + 4x)' equal to zero and attempt to solve:

Simplifying
-5 + 4x = 0

Solving
-5 + 4x = 0

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

Add '5' to each side of the equation.
-5 + 5 + 4x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = 0 + 5
4x = 0 + 5

Combine like terms: 0 + 5 = 5
4x = 5

Divide each side by '4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {0, 1.25}

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