(x-3)(x-3)=2x+9

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Solution for (x-3)(x-3)=2x+9 equation:


Simplifying
(x + -3)(x + -3) = 2x + 9

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

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

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

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

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

Add '-9' to each side of the equation.
9 + -6x + -9 + x2 = 9 + -9 + 2x

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

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

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

Solving
-6x + x2 = 2x

Solving for variable 'x'.

Reorder the terms:
-6x + -2x + x2 = 2x + -2x

Combine like terms: -6x + -2x = -8x
-8x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-8x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-8 + x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-8 + x)' equal to zero and attempt to solve:

Simplifying
-8 + x = 0

Solving
-8 + x = 0

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

Add '8' to each side of the equation.
-8 + 8 + x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + x = 0 + 8
x = 0 + 8

Combine like terms: 0 + 8 = 8
x = 8

Simplifying
x = 8
Solution
x = {0, 8}

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