(x+2k)(x-2)=x^2+3x-4k

Simple and best practice solution for (x+2k)(x-2)=x^2+3x-4k 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 (x+2k)(x-2)=x^2+3x-4k equation: 


Simplifying
(x + 2k)(x + -2) = x2 + 3x + -4k

Reorder the terms:
(2k + x)(x + -2) = x2 + 3x + -4k

Reorder the terms:
(2k + x)(-2 + x) = x2 + 3x + -4k

Multiply (2k + x) * (-2 + x)
(2k * (-2 + x) + x(-2 + x)) = x2 + 3x + -4k
((-2 * 2k + x * 2k) + x(-2 + x)) = x2 + 3x + -4k
((-4k + 2kx) + x(-2 + x)) = x2 + 3x + -4k
(-4k + 2kx + (-2 * x + x * x)) = x2 + 3x + -4k
(-4k + 2kx + (-2x + x2)) = x2 + 3x + -4k
(-4k + 2kx + -2x + x2) = x2 + 3x + -4k

Reorder the terms:
-4k + 2kx + -2x + x2 = -4k + 3x + x2

Add '4k' to each side of the equation.
-4k + 2kx + -2x + 4k + x2 = -4k + 3x + 4k + x2

Reorder the terms:
-4k + 4k + 2kx + -2x + x2 = -4k + 3x + 4k + x2

Combine like terms: -4k + 4k = 0
0 + 2kx + -2x + x2 = -4k + 3x + 4k + x2
2kx + -2x + x2 = -4k + 3x + 4k + x2

Reorder the terms:
2kx + -2x + x2 = -4k + 4k + 3x + x2

Combine like terms: -4k + 4k = 0
2kx + -2x + x2 = 0 + 3x + x2
2kx + -2x + x2 = 3x + x2

Add '-1x2' to each side of the equation.
2kx + -2x + x2 + -1x2 = 3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2kx + -2x + 0 = 3x + x2 + -1x2
2kx + -2x = 3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2kx + -2x = 3x + 0
2kx + -2x = 3x

Solving
2kx + -2x = 3x

Solving for variable 'k'.

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

Add '2x' to each side of the equation.
2kx + -2x + 2x = 3x + 2x

Combine like terms: -2x + 2x = 0
2kx + 0 = 3x + 2x
2kx = 3x + 2x

Combine like terms: 3x + 2x = 5x
2kx = 5x

Divide each side by '2x'.
k = 2.5

Simplifying
k = 2.5

See similar equations:

| 2x+5=110 | | 111+8x=180 | | 3x+x+7=180 | | 2x^2+7x-11=0 | | (6y+4)-(5y-8)= | | 83=16x | | 3x=x+7 | | 5x+2y=90 | | 6x^2=52 | | 4x-1=x+20 | | 2(x+5)-7=3(x-2) | | 8(a-4)= | | 2x+(x-3)(x+4)=x^2 | | 5r^2+12r=-4r^2-4 | | 88-5x=31x+20 | | 64=2*14+2w | | 4x+13=-85-10x | | 122-3x=5x+10 | | 5x+8=3x+10 | | a+b=4(c-5) | | 4x-12=28 | | 6m+n=p-7 | | 2log(x-2)-log(4-x)=1-log(13-x) | | 15x+1000=1000 | | 3x+2.1=8.4 | | 13+7(-3x-1)=-63 | | 3x+2.5=8.4 | | 5x-2.5=62.5 | | 6(k+7)=-6(k+7) | | -7X+72=11X-72 | | -7+72=11X-72 | | 4(2n-5)=7(2n+4) |

Equations solver categories