x^2-7x=x(3+x)

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Solution for x^2-7x=x(3+x) equation:


Simplifying
x2 + -7x = x(3 + x)

Reorder the terms:
-7x + x2 = x(3 + x)
-7x + x2 = (3 * x + x * x)
-7x + x2 = (3x + x2)

Add '-1x2' to each side of the equation.
-7x + x2 + -1x2 = 3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-7x + 0 = 3x + x2 + -1x2
-7x = 3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-7x = 3x + 0
-7x = 3x

Solving
-7x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-7x + -3x = 3x + -3x

Combine like terms: -7x + -3x = -10x
-10x = 3x + -3x

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

Divide each side by '-10'.
x = 0.0

Simplifying
x = 0.0

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