784=-16x^2+32x+768

Solution for 784=-16x^2+32x+768 equation:

Simplifying
784 = -16x2 + 32x + 768

Reorder the terms:
784 = 768 + 32x + -16x2

Solving
784 = 768 + 32x + -16x2

Solving for variable 'x'.

Combine like terms: 784 + -768 = 16
16 + -32x + 16x2 = 768 + 32x + -16x2 + -768 + -32x + 16x2

Reorder the terms:
16 + -32x + 16x2 = 768 + -768 + 32x + -32x + -16x2 + 16x2

Combine like terms: 768 + -768 = 0
16 + -32x + 16x2 = 0 + 32x + -32x + -16x2 + 16x2
16 + -32x + 16x2 = 32x + -32x + -16x2 + 16x2

Combine like terms: 32x + -32x = 0
16 + -32x + 16x2 = 0 + -16x2 + 16x2
16 + -32x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
16 + -32x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(1 + -2x + x2) = 0

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

Ignore the factor 16.
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 '(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 = {1, 1}