(x-6)(5x+1)=0

Simple and best practice solution for (x-6)(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 (x-6)(5x+1)=0 equation:


Simplifying
(x + -6)(5x + 1) = 0

Reorder the terms:
(-6 + x)(5x + 1) = 0

Reorder the terms:
(-6 + x)(1 + 5x) = 0

Multiply (-6 + x) * (1 + 5x)
(-6(1 + 5x) + x(1 + 5x)) = 0
((1 * -6 + 5x * -6) + x(1 + 5x)) = 0
((-6 + -30x) + x(1 + 5x)) = 0
(-6 + -30x + (1 * x + 5x * x)) = 0
(-6 + -30x + (1x + 5x2)) = 0

Combine like terms: -30x + 1x = -29x
(-6 + -29x + 5x2) = 0

Solving
-6 + -29x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -5x)(6 + -1x) = 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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Solution

x = {-0.2, 6}

See similar equations:

| 4-8= | | 11x-4=32 | | 5-3(1-m)=2(m-5) | | 2(5-x)=-2x-5+x | | 4x^2+11x=3 | | 5x-4y= | | 8(2x-1)=5(2x+3) | | x^2-2x+16=0 | | k^2-20k=-64 | | 15m+30-2m=2m | | e^2(4-e)= | | 3y^2=12 | | ex^2(4-e)= | | 7(4+c)=6(c-7) | | n^2+4n=5 | | 4s^2=9s | | -3-6h=3(2h+3) | | 6x^2+31x+40=0 | | x^2-10x=-16 | | 4e*e-e*e*e= | | 15m^2-7mn-2n^2=0 | | e*e(4-e)= | | n^2-4n=5 | | 3=2(m-3) | | 100=80t-16t^2 | | 3.2x^2+4.4x+1.5=0 | | 4z-2z=-5z-5-6z | | 4t=-10t-28 | | x^2=-8x-2 | | e*e(2a+7)-4a= | | 2m^2-m=1 | | 6x+18=120-45x |

Equations solver categories