4x*x+8x=-4

Solution for 4x*x+8x=-4 equation:

Simplifying
4x * x + 8x = -4

Multiply x * x
4x2 + 8x = -4

Reorder the terms:
8x + 4x2 = -4

Solving
8x + 4x2 = -4

Solving for variable 'x'.

Reorder the terms:
4 + 8x + 4x2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + 8x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + 2x + x2) = 0

Factor a trinomial.
4((1 + x)(1 + x)) = 0

Ignore the factor 4.
Subproblem 1
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
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 = {-1, -1}