4x(5-4x)=56

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Solution for 4x(5-4x)=56 equation:


Simplifying
4x(5 + -4x) = 56
(5 * 4x + -4x * 4x) = 56
(20x + -16x2) = 56

Solving
20x + -16x2 = 56

Solving for variable 'x'.

Reorder the terms:
-56 + 20x + -16x2 = 56 + -56

Combine like terms: 56 + -56 = 0
-56 + 20x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-14 + 5x + -4x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-14 + 5x + -4x2)' equal to zero and attempt to solve:

Simplifying
-14 + 5x + -4x2 = 0

Solving
-14 + 5x + -4x2 = 0

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

Divide each side by '-4'.
3.5 + -1.25x + x2 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + -1.25x + -3.5 + x2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + -1.25x + x2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -1.25x + x2 = 0 + -3.5
-1.25x + x2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
-1.25x + x2 = -3.5

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 = -3.5 + 0.390625

Reorder the terms:
0.390625 + -1.25x + x2 = -3.5 + 0.390625

Combine like terms: -3.5 + 0.390625 = -3.109375
0.390625 + -1.25x + x2 = -3.109375

Factor a perfect square on the left side:
(x + -0.625)(x + -0.625) = -3.109375

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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