3x*4x=5x

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Solution for 3x*4x=5x equation: 


Simplifying
3x * 4x = 5x

Reorder the terms for easier multiplication:
3 * 4x * x = 5x

Multiply 3 * 4
12x * x = 5x

Multiply x * x
12x2 = 5x

Solving
12x2 = 5x

Solving for variable 'x'.

Reorder the terms:
-5x + 12x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-5x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5 + 12x) = 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 '(-5 + 12x)' equal to zero and attempt to solve:

Simplifying
-5 + 12x = 0

Solving
-5 + 12x = 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 + 12x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 12x = 0 + 5
12x = 0 + 5

Combine like terms: 0 + 5 = 5
12x = 5

Divide each side by '12'.
x = 0.4166666667

Simplifying
x = 0.4166666667
Solution
x = {0, 0.4166666667}

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