-2x(4x+5)=46

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Solution for -2x(4x+5)=46 equation: 


Simplifying
-2x(4x + 5) = 46

Reorder the terms:
-2x(5 + 4x) = 46
(5 * -2x + 4x * -2x) = 46
(-10x + -8x2) = 46

Solving
-10x + -8x2 = 46

Solving for variable 'x'.

Reorder the terms:
-46 + -10x + -8x2 = 46 + -46

Combine like terms: 46 + -46 = 0
-46 + -10x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(23 + 5x + 4x2) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(23 + 5x + 4x2)' equal to zero and attempt to solve:

Simplifying
23 + 5x + 4x2 = 0

Solving
23 + 5x + 4x2 = 0

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

Divide each side by '4'.
5.75 + 1.25x + x2 = 0

Move the constant term to the right:

Add '-5.75' to each side of the equation.
5.75 + 1.25x + -5.75 + x2 = 0 + -5.75

Reorder the terms:
5.75 + -5.75 + 1.25x + x2 = 0 + -5.75

Combine like terms: 5.75 + -5.75 = 0.00
0.00 + 1.25x + x2 = 0 + -5.75
1.25x + x2 = 0 + -5.75

Combine like terms: 0 + -5.75 = -5.75
1.25x + x2 = -5.75

The x term is 1.25x.  Take half its coefficient (0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
1.25x + 0.390625 + x2 = -5.75 + 0.390625

Reorder the terms:
0.390625 + 1.25x + x2 = -5.75 + 0.390625

Combine like terms: -5.75 + 0.390625 = -5.359375
0.390625 + 1.25x + x2 = -5.359375

Factor a perfect square on the left side:
(x + 0.625)(x + 0.625) = -5.359375

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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