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

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


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

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

Combine like terms: 1x + -1x = 0
(1 + 0 + -1x2) = x(3 + -1x) + 2
(1 + -1x2) = x(3 + -1x) + 2
1 + -1x2 = (3 * x + -1x * x) + 2
1 + -1x2 = (3x + -1x2) + 2

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

Add 'x2' to each side of the equation.
1 + -1x2 + x2 = 2 + 3x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
1 + 0 = 2 + 3x + -1x2 + x2
1 = 2 + 3x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
1 = 2 + 3x + 0
1 = 2 + 3x

Solving
1 = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
1 + -3x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + -3x = 2 + 0
1 + -3x = 2

Add '-1' to each side of the equation.
1 + -1 + -3x = 2 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 2 + -1
-3x = 2 + -1

Combine like terms: 2 + -1 = 1
-3x = 1

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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