-16x^4-48x^3=-64x^2

Solution for -16x^4-48x^3=-64x^2 equation:

Simplifying
-16x4 + -48x3 = -64x2

Reorder the terms:
-48x3 + -16x4 = -64x2

Solving
-48x3 + -16x4 = -64x2

Solving for variable 'x'.

Reorder the terms:
64x2 + -48x3 + -16x4 = -64x2 + 64x2

Combine like terms: -64x2 + 64x2 = 0
64x2 + -48x3 + -16x4 = 0

Factor out the Greatest Common Factor (GCF), '16x2'.
16x2(4 + -3x + -1x2) = 0

Factor a trinomial.
16x2((1 + -1x)(4 + x)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
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
Subproblem 3
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

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

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

Simplifying
x = -4
Solution
x = {0, 1, -4}