2x(x-3)-(x-3)(x-3)=0

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Solution for 2x(x-3)-(x-3)(x-3)=0 equation:


Simplifying
2x(x + -3) + -1(x + -3)(x + -3) = 0

Reorder the terms:
2x(-3 + x) + -1(x + -3)(x + -3) = 0
(-3 * 2x + x * 2x) + -1(x + -3)(x + -3) = 0
(-6x + 2x2) + -1(x + -3)(x + -3) = 0

Reorder the terms:
-6x + 2x2 + -1(-3 + x)(x + -3) = 0

Reorder the terms:
-6x + 2x2 + -1(-3 + x)(-3 + x) = 0

Multiply (-3 + x) * (-3 + x)
-6x + 2x2 + -1(-3(-3 + x) + x(-3 + x)) = 0
-6x + 2x2 + -1((-3 * -3 + x * -3) + x(-3 + x)) = 0
-6x + 2x2 + -1((9 + -3x) + x(-3 + x)) = 0
-6x + 2x2 + -1(9 + -3x + (-3 * x + x * x)) = 0
-6x + 2x2 + -1(9 + -3x + (-3x + x2)) = 0

Combine like terms: -3x + -3x = -6x
-6x + 2x2 + -1(9 + -6x + x2) = 0
-6x + 2x2 + (9 * -1 + -6x * -1 + x2 * -1) = 0
-6x + 2x2 + (-9 + 6x + -1x2) = 0

Reorder the terms:
-9 + -6x + 6x + 2x2 + -1x2 = 0

Combine like terms: -6x + 6x = 0
-9 + 0 + 2x2 + -1x2 = 0
-9 + 2x2 + -1x2 = 0

Combine like terms: 2x2 + -1x2 = 1x2
-9 + 1x2 = 0

Solving
-9 + 1x2 = 0

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 + 9 + 1x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 1x2 = 0 + 9
1x2 = 0 + 9

Combine like terms: 0 + 9 = 9
1x2 = 9

Divide each side by '1'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}

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