(2+x)*(2+x)=(10+x)*x

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Solution for (2+x)*(2+x)=(10+x)*x equation:


Simplifying
(2 + x)(2 + x) = (10 + x) * x

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

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

Reorder the terms for easier multiplication:
4 + 4x + x2 = x(10 + x)
4 + 4x + x2 = (10 * x + x * x)
4 + 4x + x2 = (10x + x2)

Add '-1x2' to each side of the equation.
4 + 4x + x2 + -1x2 = 10x + x2 + -1x2

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

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

Solving
4 + 4x = 10x

Solving for variable 'x'.

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

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

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

Combine like terms: 10x + -10x = 0
4 + -6x = 0

Add '-4' to each side of the equation.
4 + -4 + -6x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -6x = 0 + -4
-6x = 0 + -4

Combine like terms: 0 + -4 = -4
-6x = -4

Divide each side by '-6'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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