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

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


Simplifying
x(x + -5) = x * x + 2x + 4

Reorder the terms:
x(-5 + x) = x * x + 2x + 4
(-5 * x + x * x) = x * x + 2x + 4
(-5x + x2) = x * x + 2x + 4

Multiply x * x
-5x + x2 = x2 + 2x + 4

Reorder the terms:
-5x + x2 = 4 + 2x + x2

Add '-1x2' to each side of the equation.
-5x + x2 + -1x2 = 4 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-5x + 0 = 4 + 2x + x2 + -1x2
-5x = 4 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-5x = 4 + 2x + 0
-5x = 4 + 2x

Solving
-5x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-5x + -2x = 4 + 2x + -2x

Combine like terms: -5x + -2x = -7x
-7x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7x = 4 + 0
-7x = 4

Divide each side by '-7'.
x = -0.5714285714

Simplifying
x = -0.5714285714

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