-4k(2k-3)=44

Simple and best practice solution for -4k(2k-3)=44 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for -4k(2k-3)=44 equation: 


Simplifying
-4k(2k + -3) = 44

Reorder the terms:
-4k(-3 + 2k) = 44
(-3 * -4k + 2k * -4k) = 44
(12k + -8k2) = 44

Solving
12k + -8k2 = 44

Solving for variable 'k'.

Reorder the terms:
-44 + 12k + -8k2 = 44 + -44

Combine like terms: 44 + -44 = 0
-44 + 12k + -8k2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-11 + 3k + -2k2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-11 + 3k + -2k2)' equal to zero and attempt to solve:

Simplifying
-11 + 3k + -2k2 = 0

Solving
-11 + 3k + -2k2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
5.5 + -1.5k + k2 = 0

Move the constant term to the right:

Add '-5.5' to each side of the equation.
5.5 + -1.5k + -5.5 + k2 = 0 + -5.5

Reorder the terms:
5.5 + -5.5 + -1.5k + k2 = 0 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + -1.5k + k2 = 0 + -5.5
-1.5k + k2 = 0 + -5.5

Combine like terms: 0 + -5.5 = -5.5
-1.5k + k2 = -5.5

The k term is -1.5k.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5k + 0.5625 + k2 = -5.5 + 0.5625

Reorder the terms:
0.5625 + -1.5k + k2 = -5.5 + 0.5625

Combine like terms: -5.5 + 0.5625 = -4.9375
0.5625 + -1.5k + k2 = -4.9375

Factor a perfect square on the left side:
(k + -0.75)(k + -0.75) = -4.9375

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.

See similar equations:

| 4*x+8=0 | | -3(6n+4)=-156 | | 88646.4=(48+2x)(2x) | | 5(n-8)+3(1-n)=-23 | | 2+3x-2x=8 | | 29=-10a-1 | | ((1/X)-3X)^12 | | 9+-7x+4x=0 | | 2n+22= | | 2=v-10 | | 2v=-10 | | -49=6x+2x+7 | | 13x+6=4x+3 | | 3x^4-27x^3+9x=x^3 | | 9(n-9)=33 | | 6+a=1-4a | | 13x+6+4x+3=93 | | 3q=3 | | -5v+6=4v-3v | | 7+2x-3x=0 | | 3t+4x=my | | -8(x+7)-(-9x-6)=-4 | | 103=8x+32 | | 4x^2+96x=51.3 | | -11(2v-5)+7v=2(-12v-4) | | 4+2m=2m+9 | | 2x^2-4x=-2x | | -1=5m-1+5m | | ln(x)+ln(5)=13 | | 6(12-x)=-3(-10x+2)-10x | | 14y^2-12y-80=0 | | 14=-3x+2-3x |

Equations solver categories