x(x-5)=x^2+4x+5

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Solution for x(x-5)=x^2+4x+5 equation:


Simplifying
x(x + -5) = x2 + 4x + 5

Reorder the terms:
x(-5 + x) = x2 + 4x + 5
(-5 * x + x * x) = x2 + 4x + 5
(-5x + x2) = x2 + 4x + 5

Reorder the terms:
-5x + x2 = 5 + 4x + x2

Add '-1x2' to each side of the equation.
-5x + x2 + -1x2 = 5 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-5x + 0 = 5 + 4x + x2 + -1x2
-5x = 5 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-5x = 5 + 4x + 0
-5x = 5 + 4x

Solving
-5x = 5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-5x + -4x = 5 + 4x + -4x

Combine like terms: -5x + -4x = -9x
-9x = 5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9x = 5 + 0
-9x = 5

Divide each side by '-9'.
x = -0.5555555556

Simplifying
x = -0.5555555556

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