2x(4-6x)=30

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Solution for 2x(4-6x)=30 equation: 


Simplifying
2x(4 + -6x) = 30
(4 * 2x + -6x * 2x) = 30
(8x + -12x2) = 30

Solving
8x + -12x2 = 30

Solving for variable 'x'.

Reorder the terms:
-30 + 8x + -12x2 = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + 8x + -12x2 = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(-15 + 4x + -6x2)' equal to zero and attempt to solve:

Simplifying
-15 + 4x + -6x2 = 0

Solving
-15 + 4x + -6x2 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
2.5 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -0.6666666667x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -0.6666666667x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -0.6666666667x + x2 = 0 + -2.5
-0.6666666667x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-0.6666666667x + x2 = -2.5

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -2.5 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -2.5 + 0.1111111112

Combine like terms: -2.5 + 0.1111111112 = -2.3888888888
0.1111111112 + -0.6666666667x + x2 = -2.3888888888

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -2.3888888888

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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