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

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


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

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

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

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

Combine like terms: -25x + 3x = -22x
(-5 + -22x + 15x2) = 0

Solving
-5 + -22x + 15x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

Subproblem 2
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
Solution
x = {-0.2, 1.666666667}

See similar equations:

| -5(7+m)+m=-(8m+2)-2 | | 32-17=5(x-2) | | x+1/2+3/4=2 | | 177-5x=40x+17 | | -55=-10+5x | | 3x+6x-4=14 | | 5t+2=5 | | 2-(s-9)=10-s+4 | | 12(x-6)=-3-9 | | 4x+21=11x-23 | | 7x*7=4x*4 | | 8n-3n=21 | | n-728=-35 | | 793=w+964 | | 4(x-1)=2(x+8) | | 9(x+6)-48= | | 5c+6=26 | | m-531=-347 | | 7u=329 | | 8y+3=51 | | (v+7)(v-8)=0 | | -3x=-1(x-6) | | 4x^2-13x+20=4x+5 | | z-344=-245 | | (y-9)(y+3)=0 | | -2(-7n+6)-2(8n+1)=-22 | | f+50=97 | | 3(6-2x)=8x | | 5y^2-27y+10=0 | | 2x+3=34 | | -5g=-20 | | 4.8x+0.2(x-2)=3 |

Equations solver categories