6d^2=-21d-15

Simple and best practice solution for 6d^2=-21d-15 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 6d^2=-21d-15 equation:


Simplifying
6d2 = -21d + -15

Reorder the terms:
6d2 = -15 + -21d

Solving
6d2 = -15 + -21d

Solving for variable 'd'.

Reorder the terms:
15 + 21d + 6d2 = -15 + -21d + 15 + 21d

Reorder the terms:
15 + 21d + 6d2 = -15 + 15 + -21d + 21d

Combine like terms: -15 + 15 = 0
15 + 21d + 6d2 = 0 + -21d + 21d
15 + 21d + 6d2 = -21d + 21d

Combine like terms: -21d + 21d = 0
15 + 21d + 6d2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + 7d + 2d2) = 0

Factor a trinomial.
3((5 + 2d)(1 + d)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(5 + 2d)' equal to zero and attempt to solve: Simplifying 5 + 2d = 0 Solving 5 + 2d = 0 Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2d = 0 + -5 2d = 0 + -5 Combine like terms: 0 + -5 = -5 2d = -5 Divide each side by '2'. d = -2.5 Simplifying d = -2.5

Subproblem 2

Set the factor '(1 + d)' equal to zero and attempt to solve: Simplifying 1 + d = 0 Solving 1 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + d = 0 + -1 d = 0 + -1 Combine like terms: 0 + -1 = -1 d = -1 Simplifying d = -1

Solution

d = {-2.5, -1}

See similar equations:

| 8x-6=-4x-42 | | -2(h-3)=-2h+6 | | -1+6p+6=8p+11 | | 0.4-i= | | -3c(-8)=29 | | 4b+13=40b-860 | | 7x-5x+3x-5+2x= | | 17x-50=-3x+150 | | 250+350=m-12+m | | N+[n+2]+[n+4]=51 | | 15-4x=42-7 | | c/20=40 | | x-15=(-5) | | 3b(5b-4)=0 | | (x-45)+2x+(x-45)+(x-45)=540 | | -173=3(1-8x)-8 | | 8*3x=98 | | 2x-5x-3=-3x+9 | | x+2wx=y+9 | | 29x+0=23x-42 | | 36+7x-4=4x+47 | | 6-2d=2 | | 12b-10b=6 | | 115=-5(-7-2k) | | (8+x)3=-2 | | 8-y=-33 | | 3+7(z-4)=-(3z-10) | | -16-46=f | | 42=8m+15m | | 5(3c-2)=10c+35 | | 3x^2+34x+8=0 | | -5p+7p=3p+5 |

Equations solver categories