(3x-2)(2x-1)=6x^2-2

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Solution for (3x-2)(2x-1)=6x^2-2 equation:


Simplifying
(3x + -2)(2x + -1) = 6x2 + -2

Reorder the terms:
(-2 + 3x)(2x + -1) = 6x2 + -2

Reorder the terms:
(-2 + 3x)(-1 + 2x) = 6x2 + -2

Multiply (-2 + 3x) * (-1 + 2x)
(-2(-1 + 2x) + 3x * (-1 + 2x)) = 6x2 + -2
((-1 * -2 + 2x * -2) + 3x * (-1 + 2x)) = 6x2 + -2
((2 + -4x) + 3x * (-1 + 2x)) = 6x2 + -2
(2 + -4x + (-1 * 3x + 2x * 3x)) = 6x2 + -2
(2 + -4x + (-3x + 6x2)) = 6x2 + -2

Combine like terms: -4x + -3x = -7x
(2 + -7x + 6x2) = 6x2 + -2

Reorder the terms:
2 + -7x + 6x2 = -2 + 6x2

Add '-6x2' to each side of the equation.
2 + -7x + 6x2 + -6x2 = -2 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
2 + -7x + 0 = -2 + 6x2 + -6x2
2 + -7x = -2 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
2 + -7x = -2 + 0
2 + -7x = -2

Solving
2 + -7x = -2

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 + -7x = -2 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = -2 + -2
-7x = -2 + -2

Combine like terms: -2 + -2 = -4
-7x = -4

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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