x(x-3)=x^2+6x-9

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Solution for x(x-3)=x^2+6x-9 equation:


Simplifying
x(x + -3) = x2 + 6x + -9

Reorder the terms:
x(-3 + x) = x2 + 6x + -9
(-3 * x + x * x) = x2 + 6x + -9
(-3x + x2) = x2 + 6x + -9

Reorder the terms:
-3x + x2 = -9 + 6x + x2

Add '-1x2' to each side of the equation.
-3x + x2 + -1x2 = -9 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3x + 0 = -9 + 6x + x2 + -1x2
-3x = -9 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3x = -9 + 6x + 0
-3x = -9 + 6x

Solving
-3x = -9 + 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.
-3x + -6x = -9 + 6x + -6x

Combine like terms: -3x + -6x = -9x
-9x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-9x = -9 + 0
-9x = -9

Divide each side by '-9'.
x = 1

Simplifying
x = 1

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