(x+5)2=65+x(x+2)

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Solution for (x+5)2=65+x(x+2) equation:


Simplifying
(x + 5) * 2 = 65 + x(x + 2)

Reorder the terms:
(5 + x) * 2 = 65 + x(x + 2)

Reorder the terms for easier multiplication:
2(5 + x) = 65 + x(x + 2)
(5 * 2 + x * 2) = 65 + x(x + 2)
(10 + 2x) = 65 + x(x + 2)

Reorder the terms:
10 + 2x = 65 + x(2 + x)
10 + 2x = 65 + (2 * x + x * x)
10 + 2x = 65 + (2x + x2)

Add '-2x' to each side of the equation.
10 + 2x + -2x = 65 + 2x + -2x + x2

Combine like terms: 2x + -2x = 0
10 + 0 = 65 + 2x + -2x + x2
10 = 65 + 2x + -2x + x2

Combine like terms: 2x + -2x = 0
10 = 65 + 0 + x2
10 = 65 + x2

Solving
10 = 65 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
10 + -1x2 = 65 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + -1x2 = 65 + 0
10 + -1x2 = 65

Add '-10' to each side of the equation.
10 + -10 + -1x2 = 65 + -10

Combine like terms: 10 + -10 = 0
0 + -1x2 = 65 + -10
-1x2 = 65 + -10

Combine like terms: 65 + -10 = 55
-1x2 = 55

Divide each side by '-1'.
x2 = -55

Simplifying
x2 = -55

Reorder the terms:
55 + x2 = -55 + 55

Combine like terms: -55 + 55 = 0
55 + x2 = 0

The solution to this equation could not be determined.

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