2h^2+7kh-15k^2=0

Simple and best practice solution for 2h^2+7kh-15k^2=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 2h^2+7kh-15k^2=0 equation: 


Simplifying
2h2 + 7kh + -15k2 = 0

Reorder the terms:
7hk + 2h2 + -15k2 = 0

Solving
7hk + 2h2 + -15k2 = 0

Solving for variable 'h'.

Factor a trinomial.
(2h + -3k)(h + 5k) = 0


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

Simplifying
2h + -3k = 0

Solving
2h + -3k = 0

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

Add '3k' to each side of the equation.
2h + -3k + 3k = 0 + 3k

Combine like terms: -3k + 3k = 0
2h + 0 = 0 + 3k
2h = 0 + 3k
Remove the zero:
2h = 3k

Divide each side by '2'.
h = 1.5k

Simplifying
h = 1.5k

Subproblem 2
Set the factor '(h + 5k)' equal to zero and attempt to solve:

Simplifying
h + 5k = 0

Solving
h + 5k = 0

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

Add '-5k' to each side of the equation.
h + 5k + -5k = 0 + -5k

Combine like terms: 5k + -5k = 0
h + 0 = 0 + -5k
h = 0 + -5k
Remove the zero:
h = -5k

Simplifying
h = -5k
Solution
h = {1.5k, -5k}

See similar equations:

| (6)^1/2 | | 12y-10y=6 | | .85714285c=18 | | 6-c=25 | | 6(2+y)=3(-y) | | -35-5v=-5(v+7) | | 8x=-83 | | 2+4*9=19+70*x | | (p+10)/(p-7)=8/9 | | 6f+2(3f-12)= | | 5-b=0.65 | | 7w-14=4w-5+w | | 2x+4=4x+1 | | 5x=3-4x | | |3x-3|=9 | | h=2lw+2lh+2wh | | 8(-7)+4= | | 18k-3(k-4)=19 | | 97/30-4/25= | | -16n+8=-15n-15 | | 6(-6+2w)= | | -4(2y+3)+4=0 | | 5/(r-9)=8/r+5 | | 2x+10y=150 | | 4=1-4v-5 | | 40=-1/3(9x+10)+2 | | (-5+3d)(4)= | | 64=-3y+16 | | 6.2/3-2/3 | | (-j)-20=56 | | y-5x=18 | | 5-3/4s=-1 |

Equations solver categories