(x-3)(x-3)=x^2+rx+t

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


Simplifying
(x + -3)(x + -3) = x2 + rx + t

Reorder the terms:
(-3 + x)(x + -3) = x2 + rx + t

Reorder the terms:
(-3 + x)(-3 + x) = x2 + rx + t

Multiply (-3 + x) * (-3 + x)
(-3(-3 + x) + x(-3 + x)) = x2 + rx + t
((-3 * -3 + x * -3) + x(-3 + x)) = x2 + rx + t
((9 + -3x) + x(-3 + x)) = x2 + rx + t
(9 + -3x + (-3 * x + x * x)) = x2 + rx + t
(9 + -3x + (-3x + x2)) = x2 + rx + t

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

Reorder the terms:
9 + -6x + x2 = rx + t + x2

Add '-1x2' to each side of the equation.
9 + -6x + x2 + -1x2 = rx + t + x2 + -1x2

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

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

Solving
9 + -6x = rx + t

Solving for variable 'x'.

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

Add '-1rx' to each side of the equation.
9 + -1rx + -6x = rx + -1rx + t

Combine like terms: rx + -1rx = 0
9 + -1rx + -6x = 0 + t
9 + -1rx + -6x = t

Add '-9' to each side of the equation.
9 + -1rx + -9 + -6x = -9 + t

Reorder the terms:
9 + -9 + -1rx + -6x = -9 + t

Combine like terms: 9 + -9 = 0
0 + -1rx + -6x = -9 + t
-1rx + -6x = -9 + t

Reorder the terms:
9 + -1rx + -1t + -6x = -9 + t + 9 + -1t

Reorder the terms:
9 + -1rx + -1t + -6x = -9 + 9 + t + -1t

Combine like terms: -9 + 9 = 0
9 + -1rx + -1t + -6x = 0 + t + -1t
9 + -1rx + -1t + -6x = t + -1t

Combine like terms: t + -1t = 0
9 + -1rx + -1t + -6x = 0

The solution to this equation could not be determined.

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