(x+1)(x+1)-(x-1)(x-1)=x+9

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Solution for (x+1)(x+1)-(x-1)(x-1)=x+9 equation:


Simplifying
(x + 1)(x + 1) + -1(x + -1)(x + -1) = x + 9

Reorder the terms:
(1 + x)(x + 1) + -1(x + -1)(x + -1) = x + 9

Reorder the terms:
(1 + x)(1 + x) + -1(x + -1)(x + -1) = x + 9

Multiply (1 + x) * (1 + x)
(1(1 + x) + x(1 + x)) + -1(x + -1)(x + -1) = x + 9
((1 * 1 + x * 1) + x(1 + x)) + -1(x + -1)(x + -1) = x + 9
((1 + 1x) + x(1 + x)) + -1(x + -1)(x + -1) = x + 9
(1 + 1x + (1 * x + x * x)) + -1(x + -1)(x + -1) = x + 9
(1 + 1x + (1x + x2)) + -1(x + -1)(x + -1) = x + 9

Combine like terms: 1x + 1x = 2x
(1 + 2x + x2) + -1(x + -1)(x + -1) = x + 9

Reorder the terms:
1 + 2x + x2 + -1(-1 + x)(x + -1) = x + 9

Reorder the terms:
1 + 2x + x2 + -1(-1 + x)(-1 + x) = x + 9

Multiply (-1 + x) * (-1 + x)
1 + 2x + x2 + -1(-1(-1 + x) + x(-1 + x)) = x + 9
1 + 2x + x2 + -1((-1 * -1 + x * -1) + x(-1 + x)) = x + 9
1 + 2x + x2 + -1((1 + -1x) + x(-1 + x)) = x + 9
1 + 2x + x2 + -1(1 + -1x + (-1 * x + x * x)) = x + 9
1 + 2x + x2 + -1(1 + -1x + (-1x + x2)) = x + 9

Combine like terms: -1x + -1x = -2x
1 + 2x + x2 + -1(1 + -2x + x2) = x + 9
1 + 2x + x2 + (1 * -1 + -2x * -1 + x2 * -1) = x + 9
1 + 2x + x2 + (-1 + 2x + -1x2) = x + 9

Reorder the terms:
1 + -1 + 2x + 2x + x2 + -1x2 = x + 9

Combine like terms: 1 + -1 = 0
0 + 2x + 2x + x2 + -1x2 = x + 9
2x + 2x + x2 + -1x2 = x + 9

Combine like terms: 2x + 2x = 4x
4x + x2 + -1x2 = x + 9

Combine like terms: x2 + -1x2 = 0
4x + 0 = x + 9
4x = x + 9

Reorder the terms:
4x = 9 + x

Solving
4x = 9 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4x + -1x = 9 + x + -1x

Combine like terms: 4x + -1x = 3x
3x = 9 + x + -1x

Combine like terms: x + -1x = 0
3x = 9 + 0
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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