(3x)*(4x)=7x

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Solution for (3x)*(4x)=7x equation: 


Simplifying
(3x)(4x) = 7x

Remove parenthesis around (3x)
3x(4x) = 7x

Remove parenthesis around (4x)
3x * 4x = 7x

Reorder the terms for easier multiplication:
3 * 4x * x = 7x

Multiply 3 * 4
12x * x = 7x

Multiply x * x
12x2 = 7x

Solving
12x2 = 7x

Solving for variable 'x'.

Reorder the terms:
-7x + 12x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-7x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7 + 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 '(-7 + 12x)' equal to zero and attempt to solve:

Simplifying
-7 + 12x = 0

Solving
-7 + 12x = 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 + 12x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 12x = 0 + 7
12x = 0 + 7

Combine like terms: 0 + 7 = 7
12x = 7

Divide each side by '12'.
x = 0.5833333333

Simplifying
x = 0.5833333333
Solution
x = {0, 0.5833333333}

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