16+40x-25x^2=36

Solution for 16+40x-25x^2=36 equation:

Simplifying
16 + 40x + -25x2 = 36

Solving
16 + 40x + -25x2 = 36

Solving for variable 'x'.

Reorder the terms:
16 + -36 + 40x + -25x2 = 36 + -36

Combine like terms: 16 + -36 = -20
-20 + 40x + -25x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-20 + 40x + -25x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-4 + 8x + -5x2) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-4 + 8x + -5x2)' equal to zero and attempt to solve:

Simplifying
-4 + 8x + -5x2 = 0

Solving
-4 + 8x + -5x2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
0.8 + -1.6x + x2 = 0

Move the constant term to the right:

Add '-0.8' to each side of the equation.
0.8 + -1.6x + -0.8 + x2 = 0 + -0.8

Reorder the terms:
0.8 + -0.8 + -1.6x + x2 = 0 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -1.6x + x2 = 0 + -0.8
-1.6x + x2 = 0 + -0.8

Combine like terms: 0 + -0.8 = -0.8
-1.6x + x2 = -0.8

The x term is -1.6x.  Take half its coefficient (-0.8).
Square it (0.64) and add it to both sides.

Add '0.64' to each side of the equation.
-1.6x + 0.64 + x2 = -0.8 + 0.64

Reorder the terms:
0.64 + -1.6x + x2 = -0.8 + 0.64

Combine like terms: -0.8 + 0.64 = -0.16
0.64 + -1.6x + x2 = -0.16

Factor a perfect square on the left side:
(x + -0.8)(x + -0.8) = -0.16

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.