(x+2)(x-5)=15+x^2

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Solution for (x+2)(x-5)=15+x^2 equation: 


Simplifying
(x + 2)(x + -5) = 15 + x2

Reorder the terms:
(2 + x)(x + -5) = 15 + x2

Reorder the terms:
(2 + x)(-5 + x) = 15 + x2

Multiply (2 + x) * (-5 + x)
(2(-5 + x) + x(-5 + x)) = 15 + x2
((-5 * 2 + x * 2) + x(-5 + x)) = 15 + x2
((-10 + 2x) + x(-5 + x)) = 15 + x2
(-10 + 2x + (-5 * x + x * x)) = 15 + x2
(-10 + 2x + (-5x + x2)) = 15 + x2

Combine like terms: 2x + -5x = -3x
(-10 + -3x + x2) = 15 + x2

Add '-1x2' to each side of the equation.
-10 + -3x + x2 + -1x2 = 15 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-10 + -3x + 0 = 15 + x2 + -1x2
-10 + -3x = 15 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-10 + -3x = 15 + 0
-10 + -3x = 15

Solving
-10 + -3x = 15

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + -3x = 15 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = 15 + 10
-3x = 15 + 10

Combine like terms: 15 + 10 = 25
-3x = 25

Divide each side by '-3'.
x = -8.333333333

Simplifying
x = -8.333333333

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