(X-3)(x-3)=2x^2-9x-19

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Solution for (X-3)(x-3)=2x^2-9x-19 equation:


Simplifying
(X + -3)(x + -3) = 2x2 + -9x + -19

Reorder the terms:
(-3 + X)(x + -3) = 2x2 + -9x + -19

Reorder the terms:
(-3 + X)(-3 + x) = 2x2 + -9x + -19

Multiply (-3 + X) * (-3 + x)
(-3(-3 + x) + X(-3 + x)) = 2x2 + -9x + -19
((-3 * -3 + x * -3) + X(-3 + x)) = 2x2 + -9x + -19
((9 + -3x) + X(-3 + x)) = 2x2 + -9x + -19
(9 + -3x + (-3 * X + x * X)) = 2x2 + -9x + -19
(9 + -3x + (-3X + xX)) = 2x2 + -9x + -19

Reorder the terms:
(9 + -3X + -3x + xX) = 2x2 + -9x + -19
(9 + -3X + -3x + xX) = 2x2 + -9x + -19

Reorder the terms:
9 + -3X + -3x + xX = -19 + -9x + 2x2

Solving
9 + -3X + -3x + xX = -19 + -9x + 2x2

Solving for variable 'X'.

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

Add '-9' to each side of the equation.
9 + -3X + -3x + -9 + xX = -19 + -9x + -9 + 2x2

Reorder the terms:
9 + -9 + -3X + -3x + xX = -19 + -9x + -9 + 2x2

Combine like terms: 9 + -9 = 0
0 + -3X + -3x + xX = -19 + -9x + -9 + 2x2
-3X + -3x + xX = -19 + -9x + -9 + 2x2

Reorder the terms:
-3X + -3x + xX = -19 + -9 + -9x + 2x2

Combine like terms: -19 + -9 = -28
-3X + -3x + xX = -28 + -9x + 2x2

Add '3x' to each side of the equation.
-3X + -3x + 3x + xX = -28 + -9x + 3x + 2x2

Combine like terms: -3x + 3x = 0
-3X + 0 + xX = -28 + -9x + 3x + 2x2
-3X + xX = -28 + -9x + 3x + 2x2

Combine like terms: -9x + 3x = -6x
-3X + xX = -28 + -6x + 2x2

Reorder the terms:
28 + -3X + 6x + xX + -2x2 = -28 + -6x + 2x2 + 28 + 6x + -2x2

Reorder the terms:
28 + -3X + 6x + xX + -2x2 = -28 + 28 + -6x + 6x + 2x2 + -2x2

Combine like terms: -28 + 28 = 0
28 + -3X + 6x + xX + -2x2 = 0 + -6x + 6x + 2x2 + -2x2
28 + -3X + 6x + xX + -2x2 = -6x + 6x + 2x2 + -2x2

Combine like terms: -6x + 6x = 0
28 + -3X + 6x + xX + -2x2 = 0 + 2x2 + -2x2
28 + -3X + 6x + xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
28 + -3X + 6x + xX + -2x2 = 0

The solution to this equation could not be determined.

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