4x(-3x+2)=20

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Solution for 4x(-3x+2)=20 equation: 


Simplifying
4x(-3x + 2) = 20

Reorder the terms:
4x(2 + -3x) = 20
(2 * 4x + -3x * 4x) = 20
(8x + -12x2) = 20

Solving
8x + -12x2 = 20

Solving for variable 'x'.

Reorder the terms:
-20 + 8x + -12x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 8x + -12x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-5 + 2x + -3x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-5 + 2x + -3x2)' equal to zero and attempt to solve:

Simplifying
-5 + 2x + -3x2 = 0

Solving
-5 + 2x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
1.666666667 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + -0.6666666667x + -1.666666667 + x2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + -0.6666666667x + x2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + -0.6666666667x + x2 = 0 + -1.666666667
-0.6666666667x + x2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
-0.6666666667x + x2 = -1.666666667

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 = -1.666666667 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -1.666666667 + 0.1111111112

Combine like terms: -1.666666667 + 0.1111111112 = -1.5555555558
0.1111111112 + -0.6666666667x + x2 = -1.5555555558

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -1.5555555558

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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