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

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Solution for 90=(x+8)(x+3)-x^2 equation: 


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

Reorder the terms:
90 = (8 + x)(x + 3) + -1x2

Reorder the terms:
90 = (8 + x)(3 + x) + -1x2

Multiply (8 + x) * (3 + x)
90 = (8(3 + x) + x(3 + x)) + -1x2
90 = ((3 * 8 + x * 8) + x(3 + x)) + -1x2
90 = ((24 + 8x) + x(3 + x)) + -1x2
90 = (24 + 8x + (3 * x + x * x)) + -1x2
90 = (24 + 8x + (3x + x2)) + -1x2

Combine like terms: 8x + 3x = 11x
90 = (24 + 11x + x2) + -1x2

Combine like terms: x2 + -1x2 = 0
90 = 24 + 11x + 0
90 = 24 + 11x

Solving
90 = 24 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
90 + -11x = 24 + 11x + -11x

Combine like terms: 11x + -11x = 0
90 + -11x = 24 + 0
90 + -11x = 24

Add '-90' to each side of the equation.
90 + -90 + -11x = 24 + -90

Combine like terms: 90 + -90 = 0
0 + -11x = 24 + -90
-11x = 24 + -90

Combine like terms: 24 + -90 = -66
-11x = -66

Divide each side by '-11'.
x = 6

Simplifying
x = 6

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