(3d+7)(3d-10)=0

Simple and best practice solution for (3d+7)(3d-10)=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 (3d+7)(3d-10)=0 equation: 


Simplifying
(3d + 7)(3d + -10) = 0

Reorder the terms:
(7 + 3d)(3d + -10) = 0

Reorder the terms:
(7 + 3d)(-10 + 3d) = 0

Multiply (7 + 3d) * (-10 + 3d)
(7(-10 + 3d) + 3d * (-10 + 3d)) = 0
((-10 * 7 + 3d * 7) + 3d * (-10 + 3d)) = 0
((-70 + 21d) + 3d * (-10 + 3d)) = 0
(-70 + 21d + (-10 * 3d + 3d * 3d)) = 0
(-70 + 21d + (-30d + 9d2)) = 0

Combine like terms: 21d + -30d = -9d
(-70 + -9d + 9d2) = 0

Solving
-70 + -9d + 9d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-7 + -3d)(10 + -3d) = 0


Subproblem 1
Set the factor '(-7 + -3d)' equal to zero and attempt to solve:

Simplifying
-7 + -3d = 0

Solving
-7 + -3d = 0

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

Add '7' to each side of the equation.
-7 + 7 + -3d = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3d = 0 + 7
-3d = 0 + 7

Combine like terms: 0 + 7 = 7
-3d = 7

Divide each side by '-3'.
d = -2.333333333

Simplifying
d = -2.333333333

Subproblem 2
Set the factor '(10 + -3d)' equal to zero and attempt to solve:

Simplifying
10 + -3d = 0

Solving
10 + -3d = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3d = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3d = 0 + -10
-3d = 0 + -10

Combine like terms: 0 + -10 = -10
-3d = -10

Divide each side by '-3'.
d = 3.333333333

Simplifying
d = 3.333333333
Solution
d = {-2.333333333, 3.333333333}

See similar equations:

| 3-2(3x+1)=x-5(5-7x) | | 4(3+x)-3(2x-5)=6-x-2(3-x) | | 5x-9=4(x+6)-3 | | X^2=14+51 | | -x(5-4x)=0 | | x^2-y^2=300 | | 20.553+5.3*3.2=2.3(6.71+3*3.2) | | 2x[3x+y-yexp(-x^2)]dx+[x^2+3y^2+exp(-x^2)]dy=0 | | 4(x-3)-3(3-x)=5(x+2)-9(8-x)+20 | | 7(-6-x)-4x=-9 | | 9x+12-4x+2=30 | | 7h-19=15 | | 6(x-1)-(3x+11)+7=0 | | (4t-5)(2t-5)=0 | | 5c+2d-3c-4d= | | 20.553+5.3x=2.3(6.71+3x) | | 2x+1+2x+2+2x+4=96 | | 7a-1=4a+5 | | 2N+-6=8N | | 0.5x^2-x+0.5=0 | | 3x-1x=37 | | (h-6)(h+7)= | | 9(x+5)=9(5+x) | | 666x-590=345x+7 | | 12x-8=-152 | | -145-8x=42-14x | | 5-2x=14-3x | | 4-2u=3u | | (2y+7)(3y-21)=0 | | 3x+3=3x+18 | | 5a-2[3-2(4a+3)]=0 | | -11x+3x=9x-15 |

Equations solver categories