4x(-4x+5)=12

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Solution for 4x(-4x+5)=12 equation: 


Simplifying
4x(-4x + 5) = 12

Reorder the terms:
4x(5 + -4x) = 12
(5 * 4x + -4x * 4x) = 12
(20x + -16x2) = 12

Solving
20x + -16x2 = 12

Solving for variable 'x'.

Reorder the terms:
-12 + 20x + -16x2 = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + 20x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-3 + 5x + -4x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-3 + 5x + -4x2)' equal to zero and attempt to solve:

Simplifying
-3 + 5x + -4x2 = 0

Solving
-3 + 5x + -4x2 = 0

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

Divide each side by '-4'.
0.75 + -1.25x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -1.25x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -1.25x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -1.25x + x2 = 0 + -0.75
-1.25x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-1.25x + x2 = -0.75

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 = -0.75 + 0.390625

Reorder the terms:
0.390625 + -1.25x + x2 = -0.75 + 0.390625

Combine like terms: -0.75 + 0.390625 = -0.359375
0.390625 + -1.25x + x2 = -0.359375

Factor a perfect square on the left side:
(x + -0.625)(x + -0.625) = -0.359375

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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