-4x^2-28x=-32

Solution for -4x^2-28x=-32 equation:

Simplifying
-4x2 + -28x = -32

Reorder the terms:
-28x + -4x2 = -32

Solving
-28x + -4x2 = -32

Solving for variable 'x'.

Reorder the terms:
32 + -28x + -4x2 = -32 + 32

Combine like terms: -32 + 32 = 0
32 + -28x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(8 + -7x + -1x2) = 0

Factor a trinomial.
4((1 + -1x)(8 + x)) = 0

Ignore the factor 4.
Subproblem 1
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
Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

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

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

Simplifying
x = -8
Solution
x = {1, -8}