40=k(x-20)(x+20)

Simple and best practice solution for 40=k(x-20)(x+20) 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 40=k(x-20)(x+20) equation: 


Simplifying
40 = k(x + -20)(x + 20)

Reorder the terms:
40 = k(-20 + x)(x + 20)

Reorder the terms:
40 = k(-20 + x)(20 + x)

Multiply (-20 + x) * (20 + x)
40 = k(-20(20 + x) + x(20 + x))
40 = k((20 * -20 + x * -20) + x(20 + x))
40 = k((-400 + -20x) + x(20 + x))
40 = k(-400 + -20x + (20 * x + x * x))
40 = k(-400 + -20x + (20x + x2))

Combine like terms: -20x + 20x = 0
40 = k(-400 + 0 + x2)
40 = k(-400 + x2)
40 = (-400 * k + x2 * k)
40 = (-400k + kx2)

Solving
40 = -400k + kx2

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '400k' to each side of the equation.
40 + 400k = -400k + 400k + kx2

Combine like terms: -400k + 400k = 0
40 + 400k = 0 + kx2
40 + 400k = kx2

Add '-1kx2' to each side of the equation.
40 + 400k + -1kx2 = kx2 + -1kx2

Combine like terms: kx2 + -1kx2 = 0
40 + 400k + -1kx2 = 0

Add '-40' to each side of the equation.
40 + 400k + -40 + -1kx2 = 0 + -40

Reorder the terms:
40 + -40 + 400k + -1kx2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + 400k + -1kx2 = 0 + -40
400k + -1kx2 = 0 + -40

Combine like terms: 0 + -40 = -40
400k + -1kx2 = -40

Reorder the terms:
40 + 400k + -1kx2 = -40 + 40

Combine like terms: -40 + 40 = 0
40 + 400k + -1kx2 = 0

The solution to this equation could not be determined.

See similar equations:

| (19b-8)-6(3b+2)=-6 | | 2s+4=5s-8 | | 5a+3=4a+4 | | (x-20)(x+20)=40 | | 900-100x=200x | | 1/4x-10=8 | | 2ar^2-2ar+11=0 | | z^4-2=0 | | 4x+9=12x-3 | | R=16 | | 3.5x-7.5=17 | | -x^2-2=16 | | 3(5)-3=12 | | x^2-4+(x^2)+2*x=0 | | Log(x-9)15=1 | | 2(x-2)+x=7 | | 2x-4=169 | | Q=tk | | 4x-1=2(x+1) | | (x+6)x=112 | | (8x-61)=(5x-13) | | -3(x+1)+2=-x+1 | | 8x=80-2x | | -2(4x-3)=2 | | g(-14)=-3x+8 | | 0.75x+0.25y+5e=100 | | 6(2x+4)=6 | | (m-7)(m+3)= | | 4-n+5=3+2n | | x^2-9x+28=0# | | 3x-5x=x-1 | | 16-3p=0.666p+5 |

Equations solver categories