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

Simple and best practice solution for (5x+1)(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 (5x+1)(3x+5)=0 equation: 


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

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

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

Multiply (1 + 5x) * (5 + 3x)
(1(5 + 3x) + 5x * (5 + 3x)) = 0
((5 * 1 + 3x * 1) + 5x * (5 + 3x)) = 0
((5 + 3x) + 5x * (5 + 3x)) = 0
(5 + 3x + (5 * 5x + 3x * 5x)) = 0
(5 + 3x + (25x + 15x2)) = 0

Combine like terms: 3x + 25x = 28x
(5 + 28x + 15x2) = 0

Solving
5 + 28x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + 3x)(1 + 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 '(1 + 5x)' equal to zero and attempt to solve:

Simplifying
1 + 5x = 0

Solving
1 + 5x = 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 + 5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 0 + -1
5x = 0 + -1

Combine like terms: 0 + -1 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2
Solution
x = {-1.666666667, -0.2}

See similar equations:

| 4x+1x=105 | | 7k+5=82 | | 9x^2y^2+24xy^3+16y^4=0 | | 5n+9=-11 | | -5t+3=63 | | -2t+10=6 | | 3w-7=26 | | -8-7w=-29 | | 3b+8=38 | | -2d-3=-13 | | -1+7t=-50 | | 7m-2=-58 | | 4x+1s=105 | | 3x^2y-30xy^2+72y^3=0 | | -7k+9=58 | | 5a-4=-39 | | 4+4b=-32 | | 4t+4=28 | | 2-3t=38 | | 3d+10=25 | | 4t+8=0 | | -4w+2=26 | | -2-4t=-30 | | 5k+10=-25 | | 5b+8=53 | | 5b-8=-18 | | 6+5w=6 | | 9a^4+11a^3b+2a^2b^2=0 | | 2s-12=4s+2s-12 | | 3/2x=(3/2)(14) | | 7k+3=-39 | | -5+6m=37 |

Equations solver categories