2(x^2)=3x(4)

Solution for 2(x^2)=3x(4) equation:

Simplifying
2(x2) = 3x(4)

Reorder the terms for easier multiplication:
2x2 = 3 * 4x

Multiply 3 * 4
2x2 = 12x

Solving
2x2 = 12x

Solving for variable 'x'.

Reorder the terms:
-12x + 2x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
-12x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-6 + x) = 0

Ignore the factor 2.
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 '(-6 + x)' equal to zero and attempt to solve:

Simplifying
-6 + x = 0

Solving
-6 + x = 0

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

Add '6' to each side of the equation.
-6 + 6 + x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + x = 0 + 6
x = 0 + 6

Combine like terms: 0 + 6 = 6
x = 6

Simplifying
x = 6
Solution
x = {0, 6}