5(x+5)(x-125)=

Simple and best practice solution for 5(x+5)(x-125)= 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 5(x+5)(x-125)= equation: 


Simplifying
5(x + 5)(x + -125) = 0

Reorder the terms:
5(5 + x)(x + -125) = 0

Reorder the terms:
5(5 + x)(-125 + x) = 0

Multiply (5 + x) * (-125 + x)
5(5(-125 + x) + x(-125 + x)) = 0
5((-125 * 5 + x * 5) + x(-125 + x)) = 0
5((-625 + 5x) + x(-125 + x)) = 0
5(-625 + 5x + (-125 * x + x * x)) = 0
5(-625 + 5x + (-125x + x2)) = 0

Combine like terms: 5x + -125x = -120x
5(-625 + -120x + x2) = 0
(-625 * 5 + -120x * 5 + x2 * 5) = 0
(-3125 + -600x + 5x2) = 0

Solving
-3125 + -600x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-625 + -120x + x2) = 0

Factor a trinomial.
5((-5 + -1x)(125 + -1x)) = 0

Ignore the factor 5.

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 '(125 + -1x)' equal to zero and attempt to solve:

Simplifying
125 + -1x = 0

Solving
125 + -1x = 0

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

Add '-125' to each side of the equation.
125 + -125 + -1x = 0 + -125

Combine like terms: 125 + -125 = 0
0 + -1x = 0 + -125
-1x = 0 + -125

Combine like terms: 0 + -125 = -125
-1x = -125

Divide each side by '-1'.
x = 125

Simplifying
x = 125
Solution
x = {-5, 125}

See similar equations:

| 25x+44-8x=13y-7 | | (11x+9)+(12x+3)= | | (2x^2)=(-5x-7) | | 3b+2(1-7b)=-86 | | 10y+15x= | | 2-55+(65+85)=5 | | 3x^2-23xy+40xy^2=0 | | 3x^2-20xy+40xy^2=0 | | (12(-0.5)+3)= | | 7z+3=38 | | 3(q-5)=2(q-15) | | (11(-0.5)+9)= | | 21x-x= | | (11x+9)+(12x+3)=0 | | 1000=30x | | 36x-10(x+2)=13-7x | | (11x+9)+(12x+3)=o | | 24-3u=2u | | 4(-2)+3y=12 | | f(x)=8x^3-12x^2-36x | | 2x+1y=3.55 | | (x+8)(8-x)= | | 2x+1b=3.55 | | 4c+3(5)=12 | | 14d-8=6d | | 7h-8=41 | | 1650h-25=1325 | | 2x-3(x+4)=-16 | | 16+8v=54 | | 2x-7(8)=x+10(4) | | 11k^2-14k-16=0 | | 11k^2-14-16=0 |

Equations solver categories