72=-16x^2+64x+12

Solution for 72=-16x^2+64x+12 equation:

Simplifying
72 = -16x2 + 64x + 12

Reorder the terms:
72 = 12 + 64x + -16x2

Solving
72 = 12 + 64x + -16x2

Solving for variable 'x'.

Combine like terms: 72 + -12 = 60
60 + -64x + 16x2 = 12 + 64x + -16x2 + -12 + -64x + 16x2

Reorder the terms:
60 + -64x + 16x2 = 12 + -12 + 64x + -64x + -16x2 + 16x2

Combine like terms: 12 + -12 = 0
60 + -64x + 16x2 = 0 + 64x + -64x + -16x2 + 16x2
60 + -64x + 16x2 = 64x + -64x + -16x2 + 16x2

Combine like terms: 64x + -64x = 0
60 + -64x + 16x2 = 0 + -16x2 + 16x2
60 + -64x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
60 + -64x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(15 + -16x + 4x2) = 0

Factor a trinomial.
4((3 + -2x)(5 + -2x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {1.5, 2.5}