5*(x-5)*(x-2)=0

Simple and best practice solution for 5*(x-5)*(x-2)=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 5*(x-5)*(x-2)=0 equation: 


Simplifying
5(x + -5)(x + -2) = 0

Reorder the terms:
5(-5 + x)(x + -2) = 0

Reorder the terms:
5(-5 + x)(-2 + x) = 0

Multiply (-5 + x) * (-2 + x)
5(-5(-2 + x) + x(-2 + x)) = 0
5((-2 * -5 + x * -5) + x(-2 + x)) = 0
5((10 + -5x) + x(-2 + x)) = 0
5(10 + -5x + (-2 * x + x * x)) = 0
5(10 + -5x + (-2x + x2)) = 0

Combine like terms: -5x + -2x = -7x
5(10 + -7x + x2) = 0
(10 * 5 + -7x * 5 + x2 * 5) = 0
(50 + -35x + 5x2) = 0

Solving
50 + -35x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(10 + -7x + x2) = 0

Factor a trinomial.
5((2 + -1x)(5 + -1x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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
Solution
x = {2, 5}

See similar equations:

| 7/6-2*x=86/5 | | 2x^3=4 | | 5x+-3-5-8x=14 | | 3n^2-28+40=0 | | x+3+8=3x+5 | | 6x-(x-8)=2(7+x)+6 | | 7v^2-42=-36v | | 21-6x=-1 | | 2x+11+14+x=10 | | 7v^2-42=36v | | 8?x-29=154 | | 2x^2+3h-1224=0 | | log(x)=8.28 | | -10x^2-12x=76 | | x-13+2x+6=x+7+2x-14 | | 6y-(2y-5)=9 | | 12x+5y=915.84 | | 21=x^2-x | | 8*x-29=154 | | Kx^2+kx+9=0 | | 6(x-14)+5(x-18)=2 | | 4x^2-45-5x^2-9x^2+12x+4=35 | | 9x-8=9(x+3) | | sin(5x)cos(x)=sin(6x)cos(2x) | | x^2-12x+59=0forx | | 1.1x-4=.8 | | 3(4x+5)-12x=32x(4-3) | | -4(2n-5)=-8n+20 | | 6y*-2y*5=29 | | 4x^2-5(9+x^2)-9x^2+12x+4=35 | | Cos^2(x)+2cos=3 | | 22y=8 |

Equations solver categories