x(x-4)=x^2+6x+3

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Solution for x(x-4)=x^2+6x+3 equation:


Simplifying
x(x + -4) = x2 + 6x + 3

Reorder the terms:
x(-4 + x) = x2 + 6x + 3
(-4 * x + x * x) = x2 + 6x + 3
(-4x + x2) = x2 + 6x + 3

Reorder the terms:
-4x + x2 = 3 + 6x + x2

Add '-1x2' to each side of the equation.
-4x + x2 + -1x2 = 3 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4x + 0 = 3 + 6x + x2 + -1x2
-4x = 3 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4x = 3 + 6x + 0
-4x = 3 + 6x

Solving
-4x = 3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-4x + -6x = 3 + 6x + -6x

Combine like terms: -4x + -6x = -10x
-10x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0
-10x = 3 + 0
-10x = 3

Divide each side by '-10'.
x = -0.3

Simplifying
x = -0.3

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