(3x+8)(8x+7)=0

Simple and best practice solution for (3x+8)(8x+7)=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 (3x+8)(8x+7)=0 equation: 


Simplifying
(3x + 8)(8x + 7) = 0

Reorder the terms:
(8 + 3x)(8x + 7) = 0

Reorder the terms:
(8 + 3x)(7 + 8x) = 0

Multiply (8 + 3x) * (7 + 8x)
(8(7 + 8x) + 3x * (7 + 8x)) = 0
((7 * 8 + 8x * 8) + 3x * (7 + 8x)) = 0
((56 + 64x) + 3x * (7 + 8x)) = 0
(56 + 64x + (7 * 3x + 8x * 3x)) = 0
(56 + 64x + (21x + 24x2)) = 0

Combine like terms: 64x + 21x = 85x
(56 + 85x + 24x2) = 0

Solving
56 + 85x + 24x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + 3x)(7 + 8x) = 0


Subproblem 1
Set the factor '(8 + 3x)' equal to zero and attempt to solve:

Simplifying
8 + 3x = 0

Solving
8 + 3x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 0 + -8
3x = 0 + -8

Combine like terms: 0 + -8 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667

Subproblem 2
Set the factor '(7 + 8x)' equal to zero and attempt to solve:

Simplifying
7 + 8x = 0

Solving
7 + 8x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 8x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 8x = 0 + -7
8x = 0 + -7

Combine like terms: 0 + -7 = -7
8x = -7

Divide each side by '8'.
x = -0.875

Simplifying
x = -0.875
Solution
x = {-2.666666667, -0.875}

See similar equations:

| y=-0.50*40+121 | | y=-0.50*30+121 | | y=-0.50*20+121 | | 2x+48=322 | | 119=6x+17 | | 1500x=20x | | 1400+x=41900 | | 2x^2+4x-47=0 | | -16t^2+t+25=0 | | 2y^2+56=0 | | a+2b=-4 | | a+8b=8 | | 5x+1=-(x-7) | | 18-0.7(s-15)=0.8(9s-15) | | 16-x+36=47 | | 9m-2(1-m)= | | y^2-3y=7 | | 0.12(6)0.02x=0.04(6+x) | | 8*12+6y=48 | | 6x-29-28=9 | | 2n^2+37n-19=0 | | v^2-8v+7=0 | | (6b^3+3b^2+8)-(2b^3-8b^2+6b-5)= | | 6x-29+28=9 | | 2x^2-39x+19=0 | | 8*0+6y=48 | | x+13-26+5=179 | | 3x^3+x-2=0 | | 3x-12=4+x | | -.003x^2+.23x+60=0 | | 5(4x-1)-3(3x-3)=5(2x+5)-10 | | -x^2+8x+10=0 |

Equations solver categories