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

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


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

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

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

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

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

Solving
4x = 9 + -6x + x2

Solving for variable 'x'.

Reorder the terms:
-9 + 4x + 6x + -1x2 = 9 + -6x + x2 + -9 + 6x + -1x2

Combine like terms: 4x + 6x = 10x
-9 + 10x + -1x2 = 9 + -6x + x2 + -9 + 6x + -1x2

Reorder the terms:
-9 + 10x + -1x2 = 9 + -9 + -6x + 6x + x2 + -1x2

Combine like terms: 9 + -9 = 0
-9 + 10x + -1x2 = 0 + -6x + 6x + x2 + -1x2
-9 + 10x + -1x2 = -6x + 6x + x2 + -1x2

Combine like terms: -6x + 6x = 0
-9 + 10x + -1x2 = 0 + x2 + -1x2
-9 + 10x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + 10x + -1x2 = 0

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


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

Simplifying
-9 + x = 0

Solving
-9 + x = 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 + x = 0 + 9

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

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

Simplifying
x = 9

Subproblem 2
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
Solution
x = {9, 1}

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