3(x+5)(x-8)=0

Simple and best practice solution for 3(x+5)(x-8)=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 3(x+5)(x-8)=0 equation: 


Simplifying
3(x + 5)(x + -8) = 0

Reorder the terms:
3(5 + x)(x + -8) = 0

Reorder the terms:
3(5 + x)(-8 + x) = 0

Multiply (5 + x) * (-8 + x)
3(5(-8 + x) + x(-8 + x)) = 0
3((-8 * 5 + x * 5) + x(-8 + x)) = 0
3((-40 + 5x) + x(-8 + x)) = 0
3(-40 + 5x + (-8 * x + x * x)) = 0
3(-40 + 5x + (-8x + x2)) = 0

Combine like terms: 5x + -8x = -3x
3(-40 + -3x + x2) = 0
(-40 * 3 + -3x * 3 + x2 * 3) = 0
(-120 + -9x + 3x2) = 0

Solving
-120 + -9x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-40 + -3x + x2) = 0

Factor a trinomial.
3((-5 + -1x)(8 + -1x)) = 0

Ignore the factor 3.

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 '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-5, 8}

See similar equations:

| 13x-6x=28 | | -8(2y-4)+2y=-40 | | 5x^3+4x^2=20x+16 | | x(x-9)=-18 | | d-8=-9 | | t^2+10=-21 | | -x^3-900x-432=0 | | 5(3x-2)=17 | | 3x^4=24x | | h^2-36=0 | | 7/9+x=10/9 | | 5x+20=6x+11 | | y^2-12y+16=0 | | 4.2(0.3+x)=8.7 | | 10x^2+8x-24= | | 12z+4=10z+4 | | 15x+200=500 | | 5x+3(x-2)+5=7 | | x^2-2xy-35y^2=0 | | 3x+44=9x+14 | | 6x+3y-y= | | 9a^2+4-24a=0 | | 6x+3y=5x-13+2y | | 7/9=1/3(x-6) | | 0.5+2x=1.5 | | -22+31+(-44)+50= | | 25b^2+40b-6=-18 | | 2x+13=3x-14 | | -32=-6m+4 | | 5.25x=105 | | 0=5x^2+3x+9 | | 5x(x+5)=(4x-8)(x+5) |

Equations solver categories