(3x-1)(x+2)=x(3x)

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Solution for (3x-1)(x+2)=x(3x) equation:


Simplifying
(3x + -1)(x + 2) = x(3x)

Reorder the terms:
(-1 + 3x)(x + 2) = x(3x)

Reorder the terms:
(-1 + 3x)(2 + x) = x(3x)

Multiply (-1 + 3x) * (2 + x)
(-1(2 + x) + 3x * (2 + x)) = x(3x)
((2 * -1 + x * -1) + 3x * (2 + x)) = x(3x)
((-2 + -1x) + 3x * (2 + x)) = x(3x)
(-2 + -1x + (2 * 3x + x * 3x)) = x(3x)
(-2 + -1x + (6x + 3x2)) = x(3x)

Combine like terms: -1x + 6x = 5x
(-2 + 5x + 3x2) = x(3x)

Remove parenthesis around (3x)
-2 + 5x + 3x2 = x * 3x

Reorder the terms for easier multiplication:
-2 + 5x + 3x2 = 3x * x

Multiply x * x
-2 + 5x + 3x2 = 3x2

Add '-3x2' to each side of the equation.
-2 + 5x + 3x2 + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-2 + 5x + 0 = 3x2 + -3x2
-2 + 5x = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-2 + 5x = 0

Solving
-2 + 5x = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 5x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 0 + 2
5x = 0 + 2

Combine like terms: 0 + 2 = 2
5x = 2

Divide each side by '5'.
x = 0.4

Simplifying
x = 0.4

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