-16x^2+192x+448=624

Solution for -16x^2+192x+448=624 equation:

Simplifying
-16x2 + 192x + 448 = 624

Reorder the terms:
448 + 192x + -16x2 = 624

Solving
448 + 192x + -16x2 = 624

Solving for variable 'x'.

Reorder the terms:
448 + -624 + 192x + -16x2 = 624 + -624

Combine like terms: 448 + -624 = -176
-176 + 192x + -16x2 = 624 + -624

Combine like terms: 624 + -624 = 0
-176 + 192x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-11 + 12x + -1x2) = 0

Factor a trinomial.
16((-11 + x)(1 + -1x)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(-11 + x)' equal to zero and attempt to solve:

Simplifying
-11 + x = 0

Solving
-11 + x = 0

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

Add '11' to each side of the equation.
-11 + 11 + x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + x = 0 + 11
x = 0 + 11

Combine like terms: 0 + 11 = 11
x = 11

Simplifying
x = 11
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
Solution
x = {11, 1}