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

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


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

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

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

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

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

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

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

Solving
2x2 = 2

Solving for variable 'x'.

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

Divide each side by '2'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}

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