(3x+7)(x+5)=0

Simple and best practice solution for (3x+7)(x+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 (3x+7)(x+5)=0 equation: 


Simplifying
(3x + 7)(x + 5) = 0

Reorder the terms:
(7 + 3x)(x + 5) = 0

Reorder the terms:
(7 + 3x)(5 + x) = 0

Multiply (7 + 3x) * (5 + x)
(7(5 + x) + 3x * (5 + x)) = 0
((5 * 7 + x * 7) + 3x * (5 + x)) = 0
((35 + 7x) + 3x * (5 + x)) = 0
(35 + 7x + (5 * 3x + x * 3x)) = 0
(35 + 7x + (15x + 3x2)) = 0

Combine like terms: 7x + 15x = 22x
(35 + 22x + 3x2) = 0

Solving
35 + 22x + 3x2 = 0

Solving for variable 'x'.

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


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

Simplifying
5 + x = 0

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

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

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

Simplifying
x = -5

Subproblem 2
Set the factor '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 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 + 3x = 0 + -7

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

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

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

Simplifying
x = -2.333333333
Solution
x = {-5, -2.333333333}

See similar equations:

| f=-18+-10x | | 16u^7x^6-7u^2x^6/-4u^3x^4 | | (x^2-3x+4)(2x-1)=0 | | f=-17+5x-1+-15x | | y/3+y | | 8-m=20 | | 15x^2y^3/25x^5y^3 | | 21x-14/4=-14 | | 1/2y+y | | 6(3y+5)=9 | | f(x)=-15x^2-17x+5 | | 6(z+4)=-16-4z | | 4x-7=(x-7)*11 | | 3*-3/17-2*32/17=6 | | 10x^2+11x-28=0 | | 5*28/13=5-25*3/13 | | 15x^3+3x^2-5x-1= | | 3*28/13-2*3/13=6 | | 3*28/13-2*3/13=6 | | 3*28/13-2*3/13 | | (2k+3)(2k^2-4k-3)=0 | | X-19=71 | | 15-5x=9-3x | | 10t^2+9t-40=0 | | (5h-5)(5h-6)=0 | | 16x+-18y+10x-7= | | 4t^2+13t+3=0 | | Y=19x+9/4 | | -25x+300x=0 | | 9x^2+4y^2+48y+108=0 | | 25x-x+2y= | | 0.92737x^3+10.0835x^2-39x+45=0 |

Equations solver categories