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

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


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

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

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

Multiply (1 + 3x) * (-3 + 5x)
(1(-3 + 5x) + 3x * (-3 + 5x)) = 0
((-3 * 1 + 5x * 1) + 3x * (-3 + 5x)) = 0
((-3 + 5x) + 3x * (-3 + 5x)) = 0
(-3 + 5x + (-3 * 3x + 5x * 3x)) = 0
(-3 + 5x + (-9x + 15x2)) = 0

Combine like terms: 5x + -9x = -4x
(-3 + -4x + 15x2) = 0

Solving
-3 + -4x + 15x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

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

Simplifying
3 + -5x = 0

Solving
3 + -5x = 0

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

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

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

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

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
Solution
x = {-0.3333333333, 0.6}

See similar equations:

| 5(3x+8)=20 | | 2x+9=14-7x | | ax=b+2x | | 3+5x=3+x | | 0=-x^2+2x-8 | | -9=3/8n | | x^2+y^3-x^2y^2=64 | | 2(x+2)-9=3x-17 | | 7x-27/5x= | | 769=(x*40)+(1.5x*15) | | 6(x+3)-(4n+9)= | | 4(-6)+8y=0 | | 10x-20=5x+8 | | 0.70x+0.10(480-x)=0.60 | | 5n+2(6-7n)= | | 11*x^2+8*x=60 | | 70x-10x=1200 | | 3(5y+5)=5(2y-5) | | 0=x^2+5x+12 | | 3[7-(n+5)]+19=5(3-n) | | y=-1/4+2 | | 22-5(4v-1)=-63 | | 2x+34-5x=1-8x+3 | | 17=1-3b-5b | | 6+(n-4)=2(2n+13) | | 3*x^2+2=50 | | 10h-8h=h+25 | | 18=-4x-2+4 | | 44=4(n+3)+4n | | 3y-20=30 | | 9x8/9 | | 23g=7.13 |

Equations solver categories