(x+5)(x-5)=(x+1)(x+7)+10

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Solution for (x+5)(x-5)=(x+1)(x+7)+10 equation: 


Simplifying
(x + 5)(x + -5) = (x + 1)(x + 7) + 10

Reorder the terms:
(5 + x)(x + -5) = (x + 1)(x + 7) + 10

Reorder the terms:
(5 + x)(-5 + x) = (x + 1)(x + 7) + 10

Multiply (5 + x) * (-5 + x)
(5(-5 + x) + x(-5 + x)) = (x + 1)(x + 7) + 10
((-5 * 5 + x * 5) + x(-5 + x)) = (x + 1)(x + 7) + 10
((-25 + 5x) + x(-5 + x)) = (x + 1)(x + 7) + 10
(-25 + 5x + (-5 * x + x * x)) = (x + 1)(x + 7) + 10
(-25 + 5x + (-5x + x2)) = (x + 1)(x + 7) + 10

Combine like terms: 5x + -5x = 0
(-25 + 0 + x2) = (x + 1)(x + 7) + 10
(-25 + x2) = (x + 1)(x + 7) + 10

Reorder the terms:
-25 + x2 = (1 + x)(x + 7) + 10

Reorder the terms:
-25 + x2 = (1 + x)(7 + x) + 10

Multiply (1 + x) * (7 + x)
-25 + x2 = (1(7 + x) + x(7 + x)) + 10
-25 + x2 = ((7 * 1 + x * 1) + x(7 + x)) + 10
-25 + x2 = ((7 + 1x) + x(7 + x)) + 10
-25 + x2 = (7 + 1x + (7 * x + x * x)) + 10
-25 + x2 = (7 + 1x + (7x + x2)) + 10

Combine like terms: 1x + 7x = 8x
-25 + x2 = (7 + 8x + x2) + 10

Reorder the terms:
-25 + x2 = 7 + 10 + 8x + x2

Combine like terms: 7 + 10 = 17
-25 + x2 = 17 + 8x + x2

Add '-1x2' to each side of the equation.
-25 + x2 + -1x2 = 17 + 8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-25 + 0 = 17 + 8x + x2 + -1x2
-25 = 17 + 8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-25 = 17 + 8x + 0
-25 = 17 + 8x

Solving
-25 = 17 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-25 + -8x = 17 + 8x + -8x

Combine like terms: 8x + -8x = 0
-25 + -8x = 17 + 0
-25 + -8x = 17

Add '25' to each side of the equation.
-25 + 25 + -8x = 17 + 25

Combine like terms: -25 + 25 = 0
0 + -8x = 17 + 25
-8x = 17 + 25

Combine like terms: 17 + 25 = 42
-8x = 42

Divide each side by '-8'.
x = -5.25

Simplifying
x = -5.25

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