-2(25x^2+40x+32)=0

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Solution for -2(25x^2+40x+32)=0 equation: 


Simplifying
-2(25x2 + 40x + 32) = 0

Reorder the terms:
-2(32 + 40x + 25x2) = 0
(32 * -2 + 40x * -2 + 25x2 * -2) = 0
(-64 + -80x + -50x2) = 0

Solving
-64 + -80x + -50x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(32 + 40x + 25x2) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(32 + 40x + 25x2)' equal to zero and attempt to solve:

Simplifying
32 + 40x + 25x2 = 0

Solving
32 + 40x + 25x2 = 0

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

Divide each side by '25'.
1.28 + 1.6x + x2 = 0

Move the constant term to the right:

Add '-1.28' to each side of the equation.
1.28 + 1.6x + -1.28 + x2 = 0 + -1.28

Reorder the terms:
1.28 + -1.28 + 1.6x + x2 = 0 + -1.28

Combine like terms: 1.28 + -1.28 = 0.00
0.00 + 1.6x + x2 = 0 + -1.28
1.6x + x2 = 0 + -1.28

Combine like terms: 0 + -1.28 = -1.28
1.6x + x2 = -1.28

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 = -1.28 + 0.64

Reorder the terms:
0.64 + 1.6x + x2 = -1.28 + 0.64

Combine like terms: -1.28 + 0.64 = -0.64
0.64 + 1.6x + x2 = -0.64

Factor a perfect square on the left side:
(x + 0.8)(x + 0.8) = -0.64

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.

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