(x+4)(3x+5)=0

Simple and best practice solution for (x+4)(3x+5)=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 (x+4)(3x+5)=0 equation: 


Simplifying
(x + 4)(3x + 5) = 0

Reorder the terms:
(4 + x)(3x + 5) = 0

Reorder the terms:
(4 + x)(5 + 3x) = 0

Multiply (4 + x) * (5 + 3x)
(4(5 + 3x) + x(5 + 3x)) = 0
((5 * 4 + 3x * 4) + x(5 + 3x)) = 0
((20 + 12x) + x(5 + 3x)) = 0
(20 + 12x + (5 * x + 3x * x)) = 0
(20 + 12x + (5x + 3x2)) = 0

Combine like terms: 12x + 5x = 17x
(20 + 17x + 3x2) = 0

Solving
20 + 17x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + x)(5 + 3x) = 0


Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667
Solution
x = {-4, -1.666666667}

See similar equations:

| 81/4-23/4 | | (x-4)(3x-5)=0 | | -2t-30=-2 | | 0=(16t^2-72t-81) | | 8=-6/x | | 6.00/8 | | 8x-4=5x-5 | | 3-(12)+5y= | | 3-(12)+5y=t | | -3/7+(-1/10) | | 3b-3=6x+6 | | 3x-25=15 | | 2u^2+5u-12=0 | | 3x+25=15 | | 10-u=15/6 | | 3+(12)+5y=t | | 32(x)+32=20(x)-60 | | 8v+13=7 | | 3+(12)+5y= | | 4.3-1.4(p-7)=-9.7 | | (5+n)(3+n)=48 | | x(x+3)=x(5+x)+16 | | 3(-5)=15 | | 3/7W-5/9=100 | | 3/7W-5/9 | | ab-.5ab= | | 3/7W-5/7 | | -3=8x+21 | | 1/2(b+14)=b+14/2 | | (y-9/5)(y-9/5) | | c^2+5c=54 | | (0,0250*650)*x*(0,05/600)=(0,0250*400) |

Equations solver categories