(x+2)(x+2)-x^2=10

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Solution for (x+2)(x+2)-x^2=10 equation: 


Simplifying
(x + 2)(x + 2) + -1x2 = 10

Reorder the terms:
(2 + x)(x + 2) + -1x2 = 10

Reorder the terms:
(2 + x)(2 + x) + -1x2 = 10

Multiply (2 + x) * (2 + x)
(2(2 + x) + x(2 + x)) + -1x2 = 10
((2 * 2 + x * 2) + x(2 + x)) + -1x2 = 10
((4 + 2x) + x(2 + x)) + -1x2 = 10
(4 + 2x + (2 * x + x * x)) + -1x2 = 10
(4 + 2x + (2x + x2)) + -1x2 = 10

Combine like terms: 2x + 2x = 4x
(4 + 4x + x2) + -1x2 = 10

Combine like terms: x2 + -1x2 = 0
4 + 4x + 0 = 10
4 + 4x = 10

Solving
4 + 4x = 10

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 4x = 10 + -4

Combine like terms: 4 + -4 = 0
0 + 4x = 10 + -4
4x = 10 + -4

Combine like terms: 10 + -4 = 6
4x = 6

Divide each side by '4'.
x = 1.5

Simplifying
x = 1.5

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