144=300-4x-16x^2

Solution for 144=300-4x-16x^2 equation:

Simplifying
144 = 300 + -4x + -16x2

Solving
144 = 300 + -4x + -16x2

Solving for variable 'x'.

Combine like terms: 144 + -300 = -156
-156 + 4x + 16x2 = 300 + -4x + -16x2 + -300 + 4x + 16x2

Reorder the terms:
-156 + 4x + 16x2 = 300 + -300 + -4x + 4x + -16x2 + 16x2

Combine like terms: 300 + -300 = 0
-156 + 4x + 16x2 = 0 + -4x + 4x + -16x2 + 16x2
-156 + 4x + 16x2 = -4x + 4x + -16x2 + 16x2

Combine like terms: -4x + 4x = 0
-156 + 4x + 16x2 = 0 + -16x2 + 16x2
-156 + 4x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-156 + 4x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-39 + x + 4x2) = 0

Factor a trinomial.
4((-13 + -4x)(3 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-13 + -4x)' equal to zero and attempt to solve:

Simplifying
-13 + -4x = 0

Solving
-13 + -4x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -4x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -4x = 0 + 13
-4x = 0 + 13

Combine like terms: 0 + 13 = 13
-4x = 13

Divide each side by '-4'.
x = -3.25

Simplifying
x = -3.25
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-3.25, 3}