(k+4)(k-9)=0

Simple and best practice solution for (k+4)(k-9)=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 (k+4)(k-9)=0 equation: 


Simplifying
(k + 4)(k + -9) = 0

Reorder the terms:
(4 + k)(k + -9) = 0

Reorder the terms:
(4 + k)(-9 + k) = 0

Multiply (4 + k) * (-9 + k)
(4(-9 + k) + k(-9 + k)) = 0
((-9 * 4 + k * 4) + k(-9 + k)) = 0
((-36 + 4k) + k(-9 + k)) = 0
(-36 + 4k + (-9 * k + k * k)) = 0
(-36 + 4k + (-9k + k2)) = 0

Combine like terms: 4k + -9k = -5k
(-36 + -5k + k2) = 0

Solving
-36 + -5k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-4 + -1k)(9 + -1k) = 0


Subproblem 1
Set the factor '(-4 + -1k)' equal to zero and attempt to solve:

Simplifying
-4 + -1k = 0

Solving
-4 + -1k = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1k = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1k = 0 + 4
-1k = 0 + 4

Combine like terms: 0 + 4 = 4
-1k = 4

Divide each side by '-1'.
k = -4

Simplifying
k = -4

Subproblem 2
Set the factor '(9 + -1k)' equal to zero and attempt to solve:

Simplifying
9 + -1k = 0

Solving
9 + -1k = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1k = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1k = 0 + -9
-1k = 0 + -9

Combine like terms: 0 + -9 = -9
-1k = -9

Divide each side by '-1'.
k = 9

Simplifying
k = 9
Solution
k = {-4, 9}

See similar equations:

| 2b-9=c | | y=150x-0 | | (p-4)(p+2)=0 | | 40-44= | | 6x+2+82=180 | | Y=12.5+5x | | 3x+2=3x+12 | | f(x)=9x^4-45x^3+37x^2+x+2 | | 47/500= | | -4x+y=-83 | | 7x(6x+5)= | | (r+7)(r+8)=0 | | x^2=-20x+19 | | n^2+2n=1200 | | 2(-5x)= | | -7=-1/6(x) | | -82+-78= | | 3(2-x)-5(3x+2)=-13+4 | | 1-(m-6)=3m+14 | | tan(0.5)*15.5= | | 3z/10-3=1 | | -(1/2)y=-4 | | x^2+kx+k^2-7=0 | | tan0.5/15.5 | | y=3*0-5 | | 3(log(2x+2))=x | | 16=8e^3x-1 | | 30x+60=20x+80 | | -logx=1.7 | | 4p+3=6k-5 | | 9+3(z-3)=-5z+1 | | 0.5x+2-0.25x=3 |

Equations solver categories