(x+5)(3x+6)=0

Simple and best practice solution for (x+5)(3x+6)=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+6)=0 equation:


Simplifying
(x + 5)(3x + 6) = 0

Reorder the terms:
(5 + x)(3x + 6) = 0

Reorder the terms:
(5 + x)(6 + 3x) = 0

Multiply (5 + x) * (6 + 3x)
(5(6 + 3x) + x(6 + 3x)) = 0
((6 * 5 + 3x * 5) + x(6 + 3x)) = 0
((30 + 15x) + x(6 + 3x)) = 0
(30 + 15x + (6 * x + 3x * x)) = 0
(30 + 15x + (6x + 3x2)) = 0

Combine like terms: 15x + 6x = 21x
(30 + 21x + 3x2) = 0

Solving
30 + 21x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(10 + 7x + x2) = 0

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

Ignore the factor 3.

Subproblem 1

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

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {-5, -2}

See similar equations:

| 12x+24y=12 | | X+.070= | | 25=5(t+2)-2t | | X=5X^3-X^2+5X-1 | | X-.070=.350 | | -7x^2+36x-5=0 | | x-5y=-20 | | -4a-5=3-6a | | X+.070=.350 | | 5x+27=2x-12 | | 2x^3+10x^2-8x=0 | | x^2+18x-65=0 | | 60=20-5v | | y+12=24-3 | | X=X^3-3X^2-25X-21 | | 7x+3-2x= | | 3x^2+13x=-4 | | x+0.5x-3=4.5 | | 2b^2+17b+36=0 | | 10a^2+27ab+5b^2=0 | | ln(x-5)=ln(10x) | | 5x-(-3x)= | | 36x=4x^2-5 | | -4x+9x+3= | | 56=7X-7 | | 5n-5n+6=16 | | ac+xc+aw^2+xw^2=0 | | 7=40(x+2) | | -4-5=3-6a | | 3x^4(5x^2-4x-5)=0 | | 6x-3y=-6 | | 3(-3x+8)=-7(4x+2) |

Equations solver categories