2x(3x+2)=6x^2-8

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Solution for 2x(3x+2)=6x^2-8 equation: 


Simplifying
2x(3x + 2) = 6x2 + -8

Reorder the terms:
2x(2 + 3x) = 6x2 + -8
(2 * 2x + 3x * 2x) = 6x2 + -8
(4x + 6x2) = 6x2 + -8

Reorder the terms:
4x + 6x2 = -8 + 6x2

Add '-6x2' to each side of the equation.
4x + 6x2 + -6x2 = -8 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
4x + 0 = -8 + 6x2 + -6x2
4x = -8 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
4x = -8 + 0
4x = -8

Solving
4x = -8

Solving for variable 'x'.

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

Divide each side by '4'.
x = -2

Simplifying
x = -2

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