[2*(x-1)*(x-1)]+[3*(x-1)]+[3*(x-1)]+4=

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Solution for [2*(x-1)*(x-1)]+[3*(x-1)]+[3*(x-1)]+4= equation: 


Simplifying
[2(x + -1)(x + -1)] + [3(x + -1)] + [3(x + -1)] + 4 = 0

Reorder the terms:
[2(-1 + x)(x + -1)] + [3(x + -1)] + [3(x + -1)] + 4 = 0

Reorder the terms:
[2(-1 + x)(-1 + x)] + [3(x + -1)] + [3(x + -1)] + 4 = 0

Multiply (-1 + x) * (-1 + x)
[2(-1(-1 + x) + x(-1 + x))] + [3(x + -1)] + [3(x + -1)] + 4 = 0
[2((-1 * -1 + x * -1) + x(-1 + x))] + [3(x + -1)] + [3(x + -1)] + 4 = 0
[2((1 + -1x) + x(-1 + x))] + [3(x + -1)] + [3(x + -1)] + 4 = 0
[2(1 + -1x + (-1 * x + x * x))] + [3(x + -1)] + [3(x + -1)] + 4 = 0
[2(1 + -1x + (-1x + x2))] + [3(x + -1)] + [3(x + -1)] + 4 = 0

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

Remove brackets around [2 + -4x + 2x2]
2 + -4x + 2x2 + [3(x + -1)] + [3(x + -1)] + 4 = 0

Reorder the terms:
2 + -4x + 2x2 + [3(-1 + x)] + [3(x + -1)] + 4 = 0
2 + -4x + 2x2 + [(-1 * 3 + x * 3)] + [3(x + -1)] + 4 = 0
2 + -4x + 2x2 + [(-3 + 3x)] + [3(x + -1)] + 4 = 0
2 + -4x + 2x2 + [-3 + 3x] + [3(x + -1)] + 4 = 0

Remove brackets around [-3 + 3x]
2 + -4x + 2x2 + -3 + 3x + [3(x + -1)] + 4 = 0

Reorder the terms:
2 + -4x + 2x2 + -3 + 3x + [3(-1 + x)] + 4 = 0
2 + -4x + 2x2 + -3 + 3x + [(-1 * 3 + x * 3)] + 4 = 0
2 + -4x + 2x2 + -3 + 3x + [(-3 + 3x)] + 4 = 0
2 + -4x + 2x2 + -3 + 3x + [-3 + 3x] + 4 = 0

Remove brackets around [-3 + 3x]
2 + -4x + 2x2 + -3 + 3x + -3 + 3x + 4 = 0

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

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

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

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

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

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

Solving
2x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(1 + x) = 0

Ignore the factor 2.

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 '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {0, -1}

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