3x+x^2-(3+x)(3+x)=8

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Solution for 3x+x^2-(3+x)(3+x)=8 equation:


Simplifying
3x + x2 + -1(3 + x)(3 + x) = 8

Multiply (3 + x) * (3 + x)
3x + x2 + -1(3(3 + x) + x(3 + x)) = 8
3x + x2 + -1((3 * 3 + x * 3) + x(3 + x)) = 8
3x + x2 + -1((9 + 3x) + x(3 + x)) = 8
3x + x2 + -1(9 + 3x + (3 * x + x * x)) = 8
3x + x2 + -1(9 + 3x + (3x + x2)) = 8

Combine like terms: 3x + 3x = 6x
3x + x2 + -1(9 + 6x + x2) = 8
3x + x2 + (9 * -1 + 6x * -1 + x2 * -1) = 8
3x + x2 + (-9 + -6x + -1x2) = 8

Reorder the terms:
-9 + 3x + -6x + x2 + -1x2 = 8

Combine like terms: 3x + -6x = -3x
-9 + -3x + x2 + -1x2 = 8

Combine like terms: x2 + -1x2 = 0
-9 + -3x + 0 = 8
-9 + -3x = 8

Solving
-9 + -3x = 8

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + -3x = 8 + 9

Combine like terms: -9 + 9 = 0
0 + -3x = 8 + 9
-3x = 8 + 9

Combine like terms: 8 + 9 = 17
-3x = 17

Divide each side by '-3'.
x = -5.666666667

Simplifying
x = -5.666666667

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