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

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


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

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

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

Multiply (-6 + x) * (9 + x)
(-6(9 + x) + x(9 + x)) = x2
((9 * -6 + x * -6) + x(9 + x)) = x2
((-54 + -6x) + x(9 + x)) = x2
(-54 + -6x + (9 * x + x * x)) = x2
(-54 + -6x + (9x + x2)) = x2

Combine like terms: -6x + 9x = 3x
(-54 + 3x + x2) = x2

Add '-1x2' to each side of the equation.
-54 + 3x + x2 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-54 + 3x + 0 = x2 + -1x2
-54 + 3x = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-54 + 3x = 0

Solving
-54 + 3x = 0

Solving for variable 'x'.

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

Add '54' to each side of the equation.
-54 + 54 + 3x = 0 + 54

Combine like terms: -54 + 54 = 0
0 + 3x = 0 + 54
3x = 0 + 54

Combine like terms: 0 + 54 = 54
3x = 54

Divide each side by '3'.
x = 18

Simplifying
x = 18

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