s^2+2sp-35p^2=0

Simple and best practice solution for s^2+2sp-35p^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 s^2+2sp-35p^2=0 equation: 


Simplifying
s2 + 2sp + -35p2 = 0

Reorder the terms:
2ps + -35p2 + s2 = 0

Solving
2ps + -35p2 + s2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-7p + -1s)(5p + -1s) = 0


Subproblem 1
Set the factor '(-7p + -1s)' equal to zero and attempt to solve:

Simplifying
-7p + -1s = 0

Solving
-7p + -1s = 0

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

Add 's' to each side of the equation.
-7p + -1s + s = 0 + s

Combine like terms: -1s + s = 0
-7p + 0 = 0 + s
-7p = 0 + s
Remove the zero:
-7p = s

Divide each side by '-7'.
p = -0.1428571429s

Simplifying
p = -0.1428571429s

Subproblem 2
Set the factor '(5p + -1s)' equal to zero and attempt to solve:

Simplifying
5p + -1s = 0

Solving
5p + -1s = 0

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

Add 's' to each side of the equation.
5p + -1s + s = 0 + s

Combine like terms: -1s + s = 0
5p + 0 = 0 + s
5p = 0 + s
Remove the zero:
5p = s

Divide each side by '5'.
p = 0.2s

Simplifying
p = 0.2s
Solution
p = {-0.1428571429s, 0.2s}

See similar equations:

| x+17x+42=0 | | 6x^2+36x=216 | | 8x-22=7x-22 | | (3m^4-6m^2+m)-(8m+3m^2+4m)+(m^2-m)= | | 6t^2+3t=0 | | 0.12-0.01(x+1)=-0.03(3-x) | | 9(7y^2-5y+2)-3(9y^2-4y+6)= | | 2a-4= | | 33/5*0.1= | | 4(x-2)-2=6x-2(3+x) | | b^2+4b-1=0 | | 3(k+j)-4-k= | | M^3+3m^2-40m=0 | | 3K+10=2K+(-21) | | 9x-5=4(x+1)+5x-9 | | 1.25(x-9)=0.8(x+9) | | 3K+10=2K+12 | | 4x+6+3=11 | | 6y^2-150=0 | | x-5=x+5 | | 6a+5a= | | 9-10*x=1 | | .833x-7y=22 | | 7v(5x)= | | 6(x-3)=2(13-x) | | 3*90+15=x | | 3*x=50 | | 4=18-8w | | 3x+0=2x+6 | | 2x+6-x=2x+8 | | 5x+1+2x=4 | | 8y+3(y-7)=4(y+2)-3 |

Equations solver categories