(x-k)(x-2)+(x+k)(x+3)=0

Simple and best practice solution for (x-k)(x-2)+(x+k)(x+3)=0 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-k)(x-2)+(x+k)(x+3)=0 equation: 


Simplifying
(x + -1k)(x + -2) + (x + k)(x + 3) = 0

Reorder the terms:
(-1k + x)(x + -2) + (x + k)(x + 3) = 0

Reorder the terms:
(-1k + x)(-2 + x) + (x + k)(x + 3) = 0

Multiply (-1k + x) * (-2 + x)
(-1k * (-2 + x) + x(-2 + x)) + (x + k)(x + 3) = 0
((-2 * -1k + x * -1k) + x(-2 + x)) + (x + k)(x + 3) = 0
((2k + -1kx) + x(-2 + x)) + (x + k)(x + 3) = 0
(2k + -1kx + (-2 * x + x * x)) + (x + k)(x + 3) = 0
(2k + -1kx + (-2x + x2)) + (x + k)(x + 3) = 0
(2k + -1kx + -2x + x2) + (x + k)(x + 3) = 0

Reorder the terms:
2k + -1kx + -2x + x2 + (k + x)(x + 3) = 0

Reorder the terms:
2k + -1kx + -2x + x2 + (k + x)(3 + x) = 0

Multiply (k + x) * (3 + x)
2k + -1kx + -2x + x2 + (k(3 + x) + x(3 + x)) = 0
2k + -1kx + -2x + x2 + ((3 * k + x * k) + x(3 + x)) = 0
2k + -1kx + -2x + x2 + ((3k + kx) + x(3 + x)) = 0
2k + -1kx + -2x + x2 + (3k + kx + (3 * x + x * x)) = 0
2k + -1kx + -2x + x2 + (3k + kx + (3x + x2)) = 0
2k + -1kx + -2x + x2 + (3k + kx + 3x + x2) = 0

Reorder the terms:
2k + 3k + -1kx + kx + -2x + 3x + x2 + x2 = 0

Combine like terms: 2k + 3k = 5k
5k + -1kx + kx + -2x + 3x + x2 + x2 = 0

Combine like terms: -1kx + kx = 0
5k + 0 + -2x + 3x + x2 + x2 = 0
5k + -2x + 3x + x2 + x2 = 0

Combine like terms: -2x + 3x = 1x
5k + 1x + x2 + x2 = 0

Combine like terms: x2 + x2 = 2x2
5k + 1x + 2x2 = 0

Solving
5k + 1x + 2x2 = 0

Solving for variable 'k'.

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

Add '-1x' to each side of the equation.
5k + 1x + -1x + 2x2 = 0 + -1x

Combine like terms: 1x + -1x = 0
5k + 0 + 2x2 = 0 + -1x
5k + 2x2 = 0 + -1x
Remove the zero:
5k + 2x2 = -1x

Add '-2x2' to each side of the equation.
5k + 2x2 + -2x2 = -1x + -2x2

Combine like terms: 2x2 + -2x2 = 0
5k + 0 = -1x + -2x2
5k = -1x + -2x2

Divide each side by '5'.
k = -0.2x + -0.4x2

Simplifying
k = -0.2x + -0.4x2

See similar equations:

| 4x^2+32x+208=0 | | (k+2)x^2+(x+2)k^2=0 | | 150x+50(16-x)=1600 | | 160x+75(10-x)=1770 | | 160x+70(15-x)=1500 | | 8x^3-28x^2+24x-16=0 | | 2(-3X+2)-3(2X+1)=5X+7(-X+2) | | 3a+4k=167 | | 3q+9=6q-3 | | 3q+9=6q-4 | | 4y+4=7y+6 | | y=(3x-2)3(2x+5)4 | | x^5+8=0 | | Q=35-0.1p | | 2x+6y+2y+X= | | Ln(x-1)+ln(x-4)=ln(10) | | 230+145= | | 15+3x^2=30 | | 259.97x^4-75000x^2-1599975=0 | | x^2+6x-829=0 | | 259.97x^4-75000x^2+1599975=0 | | y^1-1=0 | | -2+2x=-3x+13 | | 2m+6n+10p+4= | | 2xy+2zy=54 | | 48x^4+16x^2-8=0 | | 2(2x-8)=22-x | | 3x+5=2x-14 | | 8x^2+40x+10=50 | | 23+5*5(5-4x)=-12 | | 23+5*5(5-4x)=-1 | | 4(x+1)+3(x+2)=9(x+1)-5 |

Equations solver categories