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

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


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

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

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

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

Combine like terms: -15x + 5x = -10x
(-5 + -10x + 15x2) = 0

Solving
-5 + -10x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-1 + -2x + 3x2) = 0

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

Ignore the factor 5.

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 '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-0.3333333333, 1}

See similar equations:

| (48x^5y^5-6x^2y^4)/(6x^2y^4) | | -5n(4n-7)=0 | | 10(3x-1)=8(3x+1)+12 | | 3/8-1/6 | | 4x-8-10x=22x-4+8x | | y=(x+5)square+3 | | 2x+2x^2=8 | | 24r^2+219r+263=-5r+7 | | Sinx=-62 | | (x^2)-3x+1=0 | | 19t^2-12t+4=0 | | 0=-16t^2+382 | | 24n^2-152-64=4n^2 | | 19t^2-12t+4= | | 4ln(x-5)+3=15 | | m^2-23m-10=-4m^2 | | 0=-16t^2+64+80 | | 2x/x^4 | | 2x+18=8x-24 | | Sin^2x+coax=0 | | 6p^2-28=17p | | v-3/4=9/5 | | 1.29+4.4k=1.2k-13.79-15.64 | | 23x+3=13x-3 | | 11-6(4)=13 | | 21x+1=13x-3 | | 2xu+2xu=4xu | | 3a^2=4+a | | 3k^2+10k=25 | | 7*h=7000000 | | 4/7t-1/14t=t-7/2 | | 40x^2-136x=96 |

Equations solver categories