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

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


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

Remove parenthesis around (3 + -2x)
3 + -2x + (3 + -2x)(3 + -2x) = 0

Multiply (3 + -2x) * (3 + -2x)
3 + -2x + (3(3 + -2x) + -2x * (3 + -2x)) = 0
3 + -2x + ((3 * 3 + -2x * 3) + -2x * (3 + -2x)) = 0
3 + -2x + ((9 + -6x) + -2x * (3 + -2x)) = 0
3 + -2x + (9 + -6x + (3 * -2x + -2x * -2x)) = 0
3 + -2x + (9 + -6x + (-6x + 4x2)) = 0

Combine like terms: -6x + -6x = -12x
3 + -2x + (9 + -12x + 4x2) = 0

Reorder the terms:
3 + 9 + -2x + -12x + 4x2 = 0

Combine like terms: 3 + 9 = 12
12 + -2x + -12x + 4x2 = 0

Combine like terms: -2x + -12x = -14x
12 + -14x + 4x2 = 0

Solving
12 + -14x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + -7x + 2x2) = 0

Factor a trinomial.
2((3 + -2x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {1.5, 2}

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