4x(3-6x)=90

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Solution for 4x(3-6x)=90 equation: 


Simplifying
4x(3 + -6x) = 90
(3 * 4x + -6x * 4x) = 90
(12x + -24x2) = 90

Solving
12x + -24x2 = 90

Solving for variable 'x'.

Reorder the terms:
-90 + 12x + -24x2 = 90 + -90

Combine like terms: 90 + -90 = 0
-90 + 12x + -24x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-15 + 2x + -4x2) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-15 + 2x + -4x2)' equal to zero and attempt to solve:

Simplifying
-15 + 2x + -4x2 = 0

Solving
-15 + 2x + -4x2 = 0

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

Divide each side by '-4'.
3.75 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-3.75' to each side of the equation.
3.75 + -0.5x + -3.75 + x2 = 0 + -3.75

Reorder the terms:
3.75 + -3.75 + -0.5x + x2 = 0 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + -0.5x + x2 = 0 + -3.75
-0.5x + x2 = 0 + -3.75

Combine like terms: 0 + -3.75 = -3.75
-0.5x + x2 = -3.75

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -3.75 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -3.75 + 0.0625

Combine like terms: -3.75 + 0.0625 = -3.6875
0.0625 + -0.5x + x2 = -3.6875

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -3.6875

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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