3(11x-10)(x-5)=0

Simple and best practice solution for 3(11x-10)(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 3(11x-10)(x-5)=0 equation: 


Simplifying
3(11x + -10)(x + -5) = 0

Reorder the terms:
3(-10 + 11x)(x + -5) = 0

Reorder the terms:
3(-10 + 11x)(-5 + x) = 0

Multiply (-10 + 11x) * (-5 + x)
3(-10(-5 + x) + 11x * (-5 + x)) = 0
3((-5 * -10 + x * -10) + 11x * (-5 + x)) = 0
3((50 + -10x) + 11x * (-5 + x)) = 0
3(50 + -10x + (-5 * 11x + x * 11x)) = 0
3(50 + -10x + (-55x + 11x2)) = 0

Combine like terms: -10x + -55x = -65x
3(50 + -65x + 11x2) = 0
(50 * 3 + -65x * 3 + 11x2 * 3) = 0
(150 + -195x + 33x2) = 0

Solving
150 + -195x + 33x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(50 + -65x + 11x2) = 0

Factor a trinomial.
3((10 + -11x)(5 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(10 + -11x)' equal to zero and attempt to solve:

Simplifying
10 + -11x = 0

Solving
10 + -11x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -11x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -11x = 0 + -10
-11x = 0 + -10

Combine like terms: 0 + -10 = -10
-11x = -10

Divide each side by '-11'.
x = 0.9090909091

Simplifying
x = 0.9090909091

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 = {0.9090909091, 5}

See similar equations:

| y^3-5y^2-y+5=0 | | 7w(w+4)=0 | | 24=4(-h/2-7) | | 24=4(-h/2-7 | | -2(x-9)(x-5)=0 | | 4j+1=0 | | 12=9-n | | 4x^4-16x^3+27=0 | | (8x+1)(x+6)=0 | | 21-x=6 | | (2,y)(-8,4)1/5 | | 0.33t^2+96t-800=0 | | 4.32=x^5 | | y[n]=0.5y[n-1]+x[n] | | X^2-406=0 | | 5x-3=x+37-4x | | 12+6x-8x=20 | | x+(2x)+(x+10)+(3x)=360 | | 1/4x2/5x=39 | | 2x+3x+35=180 | | 91-5x=2x | | -12x+40+16x=812 | | 8x-20=6x+9 | | 4(2-x)=-7x+11 | | Log(4x-5)=Log(2x+7) | | 35/30=N/6 | | -x+3(7)=23 | | 4a+2b+4c=40 | | 4(x+5)+(x-3)=5-x | | 10+32=216-2a | | Log(5x+13)=1 | | 6a+8b=40 |

Equations solver categories