(3x+5)(5x+2)=0

Simple and best practice solution for (3x+5)(5x+2)=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+5)(5x+2)=0 equation: 


Simplifying
(3x + 5)(5x + 2) = 0

Reorder the terms:
(5 + 3x)(5x + 2) = 0

Reorder the terms:
(5 + 3x)(2 + 5x) = 0

Multiply (5 + 3x) * (2 + 5x)
(5(2 + 5x) + 3x * (2 + 5x)) = 0
((2 * 5 + 5x * 5) + 3x * (2 + 5x)) = 0
((10 + 25x) + 3x * (2 + 5x)) = 0
(10 + 25x + (2 * 3x + 5x * 3x)) = 0
(10 + 25x + (6x + 15x2)) = 0

Combine like terms: 25x + 6x = 31x
(10 + 31x + 15x2) = 0

Solving
10 + 31x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + 3x)(2 + 5x) = 0


Subproblem 1
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

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

Simplifying
2 + 5x = 0

Solving
2 + 5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 0 + -2
5x = 0 + -2

Combine like terms: 0 + -2 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4
Solution
x = {-1.666666667, -0.4}

See similar equations:

| 15x+12=-23-2 | | -[-4z-(10z+2)]=2+(5z+6) | | 2.35+1.57g=-5.6 | | Y=-5x+45 | | Y=-5x+46 | | x^1/2-x^1/3=48 | | 0.02x+0.05(14-x)=0.10(-17) | | x+21=-3 | | -3/5s=-9 | | -0.5(a+2)+a=-3 | | 2x-19x-30=0 | | (3x+5)(3x-8)=0 | | 4x-2(x-4)=-7+5x+3 | | kover-5=13 | | 2(x-13)=24 | | X=11.3-0.1Y | | 3(z-4)=10z-2(3z+9) | | -1/3x-4-4 | | 8y-7=23 | | 5(3y+1)=3(9-6y) | | 45=x*9 | | -5(-11s-4+9a)= | | 10m-4=14m-14 | | -5(1+4)+1=x+38 | | 28x+7y=39 | | 2x+181+12=25sqrt | | 2(3a+b)-(a-2b)= | | 9k-2=25whatisk | | 5z*z*z-4=131 | | 16c-4= | | 9k-2=25 | | 0.8-y=3,2+y |

Equations solver categories