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

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


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

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

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

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

Combine like terms: 15x + -1x = 14x
(-5 + 14x + 3x2) = 0

Solving
-5 + 14x + 3x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 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 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5

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 = {-5, 0.3333333333}

See similar equations:

| 4(z-1)=3z | | 0.5x+5=1 | | 2xy+3yx-xyz= | | (4x+3)(-4x+2)=5(4x+3) | | 4k-3=3kz+4 | | 32.57=4s+3.69 | | 12x^2+36x-5=0 | | 5(g+2)=2(3-g) | | 6(n+4)=3n | | f(x)=x^3-5x^2-2x+24 | | 3m+9=9m+9-7m | | 7y+7-4y-3= | | 0.004x^2-250x+2500=0 | | 2x+1=6x-17 | | 8x+30=3x-5 | | 3m+9=9(m+1)-7m | | 6(1+6p)=3(-7+3p) | | x(x+3)=330 | | -2+2(5k+4)=-3k+8(8-2k) | | -205=5(1-6b) | | 7x(x+10)=0 | | 7x+3=5x+-5 | | 8(-8-2m)=8(8m+2) | | 4(5+2n)-2(-8+7n)=4n-n | | 4x^3-20x^2+27x-9=0 | | -2(-3)+4x=-(-x+1) | | 3x+5+3y=180 | | 4(1-3k)=-4(7+3k)-5 | | 24-3r=-(7r+4) | | km= | | 0.40x+0.15(60)=0.20(89) | | -7(v+6)-5v=22-4v |

Equations solver categories