3(x-1)*(x-1)+4x-4=0

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Solution for 3(x-1)*(x-1)+4x-4=0 equation:


Simplifying
3(x + -1)(x + -1) + 4x + -4 = 0

Reorder the terms:
3(-1 + x)(x + -1) + 4x + -4 = 0

Reorder the terms:
3(-1 + x)(-1 + x) + 4x + -4 = 0

Multiply (-1 + x) * (-1 + x)
3(-1(-1 + x) + x(-1 + x)) + 4x + -4 = 0
3((-1 * -1 + x * -1) + x(-1 + x)) + 4x + -4 = 0
3((1 + -1x) + x(-1 + x)) + 4x + -4 = 0
3(1 + -1x + (-1 * x + x * x)) + 4x + -4 = 0
3(1 + -1x + (-1x + x2)) + 4x + -4 = 0

Combine like terms: -1x + -1x = -2x
3(1 + -2x + x2) + 4x + -4 = 0
(1 * 3 + -2x * 3 + x2 * 3) + 4x + -4 = 0
(3 + -6x + 3x2) + 4x + -4 = 0

Reorder the terms:
3 + -4 + -6x + 4x + 3x2 = 0

Combine like terms: 3 + -4 = -1
-1 + -6x + 4x + 3x2 = 0

Combine like terms: -6x + 4x = -2x
-1 + -2x + 3x2 = 0

Solving
-1 + -2x + 3x2 = 0

Solving for variable 'x'.

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


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

Simplifying
-1 + -3x = 0

Solving
-1 + -3x = 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 + -3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 0 + 1
-3x = 0 + 1

Combine like terms: 0 + 1 = 1
-3x = 1

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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 = {-0.3333333333, 1}

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