(x+1)2=1-3x

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


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

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

Reorder the terms for easier multiplication:
2(1 + x) = 1 + -3x
(1 * 2 + x * 2) = 1 + -3x
(2 + 2x) = 1 + -3x

Solving
2 + 2x = 1 + -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.
2 + 2x + 3x = 1 + -3x + 3x

Combine like terms: 2x + 3x = 5x
2 + 5x = 1 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 5x = 1 + 0
2 + 5x = 1

Add '-2' to each side of the equation.
2 + -2 + 5x = 1 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 1 + -2
5x = 1 + -2

Combine like terms: 1 + -2 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2

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