3x^2+3x-4=-4

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Solution for 3x^2+3x-4=-4 equation: 


Simplifying
3x2 + 3x + -4 = -4

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

Add '4' to each side of the equation.
-4 + 3x + 4 + 3x2 = -4 + 4

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

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

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

Solving
3x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(1 + x) = 0

Ignore the factor 3.

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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