(3x+1)(4x+5)=

Simple and best practice solution for (3x+1)(4x+5)= 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+1)(4x+5)= equation: 


Simplifying
(3x + 1)(4x + 5) = 0

Reorder the terms:
(1 + 3x)(4x + 5) = 0

Reorder the terms:
(1 + 3x)(5 + 4x) = 0

Multiply (1 + 3x) * (5 + 4x)
(1(5 + 4x) + 3x * (5 + 4x)) = 0
((5 * 1 + 4x * 1) + 3x * (5 + 4x)) = 0
((5 + 4x) + 3x * (5 + 4x)) = 0
(5 + 4x + (5 * 3x + 4x * 3x)) = 0
(5 + 4x + (15x + 12x2)) = 0

Combine like terms: 4x + 15x = 19x
(5 + 19x + 12x2) = 0

Solving
5 + 19x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + 4x)(1 + 3x) = 0


Subproblem 1
Set the factor '(5 + 4x)' equal to zero and attempt to solve:

Simplifying
5 + 4x = 0

Solving
5 + 4x = 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 + 4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = 0 + -5
4x = 0 + -5

Combine like terms: 0 + -5 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25

Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {-1.25, -0.3333333333}

See similar equations:

| 1/x-8=14 | | 6/x=-10 | | 9+(5+3a)=3a-7 | | 11/x=-17 | | 11/x=-17# | | 10x^2+39x-16=0 | | 10/x-2=6 | | y=8cos(2x+3) | | 5(m-2)+6=3m | | 2(m-4)+1=3(m+3)-13 | | 1/x-8=4 | | 16-3x=4t | | 10m=48+34m | | 15x+3=-9 | | 26(1/2-x/13)=49 | | -57x-22=-47+43-5 | | 12m-17=5m+18 | | 36m+12=30m | | 7x^2-8xy+7y^2=11 | | 5x^2-6xy+5y^2=29 | | 0=10x^4+4x^3-2 | | 4x=-4-3(x+15) | | 2(2x-1)=6(2x-1) | | 15x-6=6x+21 | | 2y+15=13 | | 9+4x-1= | | 3y+4+y+3= | | 5/-18=10/-12x | | -3+7k=39 | | 5/-18=10/-12× | | 3x^2-xq+6q^2=36 | | y=4cos^3(5x-3) |

Equations solver categories