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

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


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

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

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

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

Solving
2 + -3x = 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 + -3x = 0 + -2

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

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

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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