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

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


Simplifying
x(x + -2) = x2 + 5x + 4

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

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

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

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

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

Solving
-2x = 4 + 5x

Solving for variable 'x'.

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

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

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

Combine like terms: 5x + -5x = 0
-7x = 4 + 0
-7x = 4

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

Simplifying
x = -0.5714285714

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