(3x-1)(5x+2)=0

Simple and best practice solution for (3x-1)(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-1)(5x+2)=0 equation: 


Simplifying
(3x + -1)(5x + 2) = 0

Reorder the terms:
(-1 + 3x)(5x + 2) = 0

Reorder the terms:
(-1 + 3x)(2 + 5x) = 0

Multiply (-1 + 3x) * (2 + 5x)
(-1(2 + 5x) + 3x * (2 + 5x)) = 0
((2 * -1 + 5x * -1) + 3x * (2 + 5x)) = 0
((-2 + -5x) + 3x * (2 + 5x)) = 0
(-2 + -5x + (2 * 3x + 5x * 3x)) = 0
(-2 + -5x + (6x + 15x2)) = 0

Combine like terms: -5x + 6x = 1x
(-2 + 1x + 15x2) = 0

Solving
-2 + 1x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -5x)(1 + -3x) = 0


Subproblem 1
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

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 = {-0.4, 0.3333333333}

See similar equations:

| 4x-6-w-2=10w-3w | | 4x-6-w-2=10w-3 | | 2(3+x)=8(x-2) | | 180-x=8(90-x) | | 5y^2+2=-11y | | -(x-1)+10=-3(x+2) | | 0.4(x+2)-.7(x+2)=-.3x-.6 | | 7h-3h+5+9h-14= | | 6-2x-1=4x+5-6x | | 5y-4(-4)=20 | | 11x-5(6x-5)=40 | | 6-21x-1=4x+5-6x | | 5x+4=-2(x+3) | | 12x+40=2x+8+4(2x+6) | | 4x+7-x=10+3x | | k^2-3k-18=0 | | -3(4p+2)-2(4-14p)=3(1+5p) | | -x+6=7x+4 | | 17x-2y=7 | | k^2-3k+18=0 | | -6y+14+4=32 | | 5-7y=12 | | 5-5x=4(3-x) | | 3h-12=12-3h | | (ab^6)(a^8b^3)= | | (7x-1)+(5x-1)+4x=48 | | (a^4b^2)(a^8b^4)= | | 6a+9b=15 | | 2-y-5=26 | | -33=8(4-5v)-5(v+4) | | (2x-5y)(x+2y)= | | X^5+13x+1432=0 |

Equations solver categories