(x-3)(x-3)=4x

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Solution for (x-3)(x-3)=4x equation: 


Simplifying
(x + -3)(x + -3) = 4x

Reorder the terms:
(-3 + x)(x + -3) = 4x

Reorder the terms:
(-3 + x)(-3 + x) = 4x

Multiply (-3 + x) * (-3 + x)
(-3(-3 + x) + x(-3 + x)) = 4x
((-3 * -3 + x * -3) + x(-3 + x)) = 4x
((9 + -3x) + x(-3 + x)) = 4x
(9 + -3x + (-3 * x + x * x)) = 4x
(9 + -3x + (-3x + x2)) = 4x

Combine like terms: -3x + -3x = -6x
(9 + -6x + x2) = 4x

Solving
9 + -6x + x2 = 4x

Solving for variable 'x'.

Reorder the terms:
9 + -6x + -4x + x2 = 4x + -4x

Combine like terms: -6x + -4x = -10x
9 + -10x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -10x + x2 = 0

Factor a trinomial.
(1 + -1x)(9 + -1x) = 0


Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

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

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

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {1, 9}

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