(x-3)(x-3)-5(10+x)=(x)(x)+8

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Solution for (x-3)(x-3)-5(10+x)=(x)(x)+8 equation: 


Simplifying
(x + -3)(x + -3) + -5(10 + x) = (x)(x) + 8

Reorder the terms:
(-3 + x)(x + -3) + -5(10 + x) = (x)(x) + 8

Reorder the terms:
(-3 + x)(-3 + x) + -5(10 + x) = (x)(x) + 8

Multiply (-3 + x) * (-3 + x)
(-3(-3 + x) + x(-3 + x)) + -5(10 + x) = (x)(x) + 8
((-3 * -3 + x * -3) + x(-3 + x)) + -5(10 + x) = (x)(x) + 8
((9 + -3x) + x(-3 + x)) + -5(10 + x) = (x)(x) + 8
(9 + -3x + (-3 * x + x * x)) + -5(10 + x) = (x)(x) + 8
(9 + -3x + (-3x + x2)) + -5(10 + x) = (x)(x) + 8

Combine like terms: -3x + -3x = -6x
(9 + -6x + x2) + -5(10 + x) = (x)(x) + 8
9 + -6x + x2 + (10 * -5 + x * -5) = (x)(x) + 8
9 + -6x + x2 + (-50 + -5x) = (x)(x) + 8

Reorder the terms:
9 + -50 + -6x + -5x + x2 = (x)(x) + 8

Combine like terms: 9 + -50 = -41
-41 + -6x + -5x + x2 = (x)(x) + 8

Combine like terms: -6x + -5x = -11x
-41 + -11x + x2 = (x)(x) + 8

Multiply x * x
-41 + -11x + x2 = x2 + 8

Reorder the terms:
-41 + -11x + x2 = 8 + x2

Add '-1x2' to each side of the equation.
-41 + -11x + x2 + -1x2 = 8 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-41 + -11x + 0 = 8 + x2 + -1x2
-41 + -11x = 8 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-41 + -11x = 8 + 0
-41 + -11x = 8

Solving
-41 + -11x = 8

Solving for variable 'x'.

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

Add '41' to each side of the equation.
-41 + 41 + -11x = 8 + 41

Combine like terms: -41 + 41 = 0
0 + -11x = 8 + 41
-11x = 8 + 41

Combine like terms: 8 + 41 = 49
-11x = 49

Divide each side by '-11'.
x = -4.454545455

Simplifying
x = -4.454545455

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