x^2-9x+12=x^2-p^2-q

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Solution for x^2-9x+12=x^2-p^2-q equation:


Simplifying
x2 + -9x + 12 = x2 + -1p2 + -1q

Reorder the terms:
12 + -9x + x2 = x2 + -1p2 + -1q

Reorder the terms:
12 + -9x + x2 = -1p2 + -1q + x2

Add '-1x2' to each side of the equation.
12 + -9x + x2 + -1x2 = -1p2 + -1q + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
12 + -9x + 0 = -1p2 + -1q + x2 + -1x2
12 + -9x = -1p2 + -1q + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
12 + -9x = -1p2 + -1q + 0
12 + -9x = -1p2 + -1q

Solving
12 + -9x = -1p2 + -1q

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + -9x = -1p2 + -12 + -1q

Combine like terms: 12 + -12 = 0
0 + -9x = -1p2 + -12 + -1q
-9x = -1p2 + -12 + -1q

Reorder the terms:
-9x = -12 + -1p2 + -1q

Divide each side by '-9'.
x = 1.333333333 + 0.1111111111p2 + 0.1111111111q

Simplifying
x = 1.333333333 + 0.1111111111p2 + 0.1111111111q

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