5x(x+8)(x-17)=0

Simple and best practice solution for 5x(x+8)(x-17)=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(x+8)(x-17)=0 equation: 


Simplifying
5x(x + 8)(x + -17) = 0

Reorder the terms:
5x(8 + x)(x + -17) = 0

Reorder the terms:
5x(8 + x)(-17 + x) = 0

Multiply (8 + x) * (-17 + x)
5x(8(-17 + x) + x(-17 + x)) = 0
5x((-17 * 8 + x * 8) + x(-17 + x)) = 0
5x((-136 + 8x) + x(-17 + x)) = 0
5x(-136 + 8x + (-17 * x + x * x)) = 0
5x(-136 + 8x + (-17x + x2)) = 0

Combine like terms: 8x + -17x = -9x
5x(-136 + -9x + x2) = 0
(-136 * 5x + -9x * 5x + x2 * 5x) = 0
(-680x + -45x2 + 5x3) = 0

Solving
-680x + -45x2 + 5x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-136 + -9x + x2) = 0

Factor a trinomial.
5x((-8 + -1x)(17 + -1x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Subproblem 3
Set the factor '(17 + -1x)' equal to zero and attempt to solve:

Simplifying
17 + -1x = 0

Solving
17 + -1x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 0 + -17
-1x = 0 + -17

Combine like terms: 0 + -17 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17
Solution
x = {0, -8, 17}

See similar equations:

| 582+89x=598+86x | | 4x+422=180 | | 21+5x=6+4x | | -4p+3=3-4p | | y=10x+175 | | 0.7g-44.5=15 | | -2.9w+5=4.7w-7.6 | | 3+x+3=25 | | -2(3a-14)=10-4a | | 12x-27=10x-25 | | 5x/10=20 | | 0.666666666x=0.85 | | 2x^2+5=10 | | 28+25x=32x | | 1=4.5-2p+0.3p | | -7+-3= | | 1.2x=3 | | 6x-5(5x+8)=-3 | | 4-8k=4(1-2k) | | 2(-3)-8=13 | | -85+7x=80-4x | | -3(3b+1)+(10b-5)=0 | | -2(3x+4)+y=0 | | 2(-3)+-8=13 | | 7x-10=66-12x | | 10x+8=8+10x | | -(8x+7)=57 | | 3x-15=150 | | 6x^3-12x^2-24x=0 | | 9+2x=7+4x | | 42x^2-300x=288 | | 3x+3=6y+2 |

Equations solver categories