3x(x-5)=23

Simple and best practice solution for 3x(x-5)=23 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 3x(x-5)=23 equation: 


Simplifying
3x(x + -5) = 23

Reorder the terms:
3x(-5 + x) = 23
(-5 * 3x + x * 3x) = 23
(-15x + 3x2) = 23

Solving
-15x + 3x2 = 23

Solving for variable 'x'.

Reorder the terms:
-23 + -15x + 3x2 = 23 + -23

Combine like terms: 23 + -23 = 0
-23 + -15x + 3x2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
-7.666666667 + -5x + x2 = 0

Move the constant term to the right:

Add '7.666666667' to each side of the equation.
-7.666666667 + -5x + 7.666666667 + x2 = 0 + 7.666666667

Reorder the terms:
-7.666666667 + 7.666666667 + -5x + x2 = 0 + 7.666666667

Combine like terms: -7.666666667 + 7.666666667 = 0.000000000
0.000000000 + -5x + x2 = 0 + 7.666666667
-5x + x2 = 0 + 7.666666667

Combine like terms: 0 + 7.666666667 = 7.666666667
-5x + x2 = 7.666666667

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = 7.666666667 + 6.25

Reorder the terms:
6.25 + -5x + x2 = 7.666666667 + 6.25

Combine like terms: 7.666666667 + 6.25 = 13.916666667
6.25 + -5x + x2 = 13.916666667

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 13.916666667

Calculate the square root of the right side: 3.730504881

Break this problem into two subproblems by setting 
(x + -2.5) equal to 3.730504881 and -3.730504881.


Subproblem 1
x + -2.5 = 3.730504881

Simplifying
x + -2.5 = 3.730504881

Reorder the terms:
-2.5 + x = 3.730504881

Solving
-2.5 + x = 3.730504881

Solving for variable 'x'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + x = 3.730504881 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = 3.730504881 + 2.5
x = 3.730504881 + 2.5

Combine like terms: 3.730504881 + 2.5 = 6.230504881
x = 6.230504881

Simplifying
x = 6.230504881


Subproblem 2
x + -2.5 = -3.730504881

Simplifying
x + -2.5 = -3.730504881

Reorder the terms:
-2.5 + x = -3.730504881

Solving
-2.5 + x = -3.730504881

Solving for variable 'x'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + x = -3.730504881 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = -3.730504881 + 2.5
x = -3.730504881 + 2.5

Combine like terms: -3.730504881 + 2.5 = -1.230504881
x = -1.230504881

Simplifying
x = -1.230504881


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.230504881, -1.230504881}

See similar equations:

| ln(2x)=12 | | 3a-7=20 | | ln(8x^2+5x+x+1)= | | 132+x=4x-36 | | 3x+4y+z=15.5 | | -3b=1.2 | | 7x-5x=3x+5 | | 10x-9=4x-4 | | -[3x+(4x+1)]=2-(3x+9) | | ln(7x)=6 | | 7/x-1/3=2/x | | 49-s=19 | | 53/x=9-1/x | | -3(5v-9)=15v+2 | | x+5+x+5=2X+9 | | 12x-108x=0 | | 0=-5x-6+x^2 | | 63k^2+87k=30 | | -7a-3(a-7)=81 | | 8=5(29)+b | | .2(4x+6)=3(1-2x)+5 | | 6x^2-16x=-10 | | v^2+v^2+v^2+v= | | 2x^2+13x=-15 | | (11+n)(10+n)(9+n)(8+n)(7+n)(6+n)(5+n)(4+n)(3+n)(2+n)(1+n)n=0 | | 28-9=19 | | 29=5(8)+b | | -11+15=4 | | 4x-9+x=-3+31 | | 5ln(x)=40 | | y-8x=35 | | .14(x+7)=.07(2x+14) |

Equations solver categories