x(x-7)(x-5)=0

Simple and best practice solution for x(x-7)(x-5)=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(x-7)(x-5)=0 equation: 


Simplifying
x(x + -7)(x + -5) = 0

Reorder the terms:
x(-7 + x)(x + -5) = 0

Reorder the terms:
x(-7 + x)(-5 + x) = 0

Multiply (-7 + x) * (-5 + x)
x(-7(-5 + x) + x(-5 + x)) = 0
x((-5 * -7 + x * -7) + x(-5 + x)) = 0
x((35 + -7x) + x(-5 + x)) = 0
x(35 + -7x + (-5 * x + x * x)) = 0
x(35 + -7x + (-5x + x2)) = 0

Combine like terms: -7x + -5x = -12x
x(35 + -12x + x2) = 0
(35 * x + -12x * x + x2 * x) = 0
(35x + -12x2 + x3) = 0

Solving
35x + -12x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(35 + -12x + x2) = 0

Factor a trinomial.
x((5 + -1x)(7 + -1x)) = 0


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 '(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 3
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {0, 5, 7}

See similar equations:

| 50=b+25 | | 6x^2-63x=0 | | 2(x+6)+2x=3(x+12) | | t^2+4t-91=0 | | 5x+6=-38 | | 3(5+x)=57 | | 3=s/0.3 | | 2a-5=12.6 | | 7(c+6)-12=5(c-6)-12c | | 3(x+3)+3x=5(x+4) | | -x-3=18 | | (6x)+x=1456 | | w^2-5w+5.5=0 | | 2(9+x)=42 | | 4-sec^2x=4 | | 48-26f=72 | | 6x+x=100 | | 1+7y=-2 | | 5m^3+180m-5m=0 | | b/5=15 | | t-2/7=1/2 | | 4(x+2)+2x=5(x+12) | | 9t=702 | | 2f+6=8 | | -x^2+11x-18=0 | | x-4=8-3x | | 20=-4(7.5+6)+14 | | (2x+1)(6x-1)=0 | | 2(2y+1)=-2(y-1)-24 | | 2w-12=8 | | 9t=72 | | 12x*8=18 |

Equations solver categories