18x(2x-1)=3(x+5)+3x

Simple and best practice solution for 18x(2x-1)=3(x+5)+3x 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 18x(2x-1)=3(x+5)+3x equation: 


Simplifying
18x(2x + -1) = 3(x + 5) + 3x

Reorder the terms:
18x(-1 + 2x) = 3(x + 5) + 3x
(-1 * 18x + 2x * 18x) = 3(x + 5) + 3x
(-18x + 36x2) = 3(x + 5) + 3x

Reorder the terms:
-18x + 36x2 = 3(5 + x) + 3x
-18x + 36x2 = (5 * 3 + x * 3) + 3x
-18x + 36x2 = (15 + 3x) + 3x

Combine like terms: 3x + 3x = 6x
-18x + 36x2 = 15 + 6x

Solving
-18x + 36x2 = 15 + 6x

Solving for variable 'x'.

Reorder the terms:
-15 + -18x + -6x + 36x2 = 15 + 6x + -15 + -6x

Combine like terms: -18x + -6x = -24x
-15 + -24x + 36x2 = 15 + 6x + -15 + -6x

Reorder the terms:
-15 + -24x + 36x2 = 15 + -15 + 6x + -6x

Combine like terms: 15 + -15 = 0
-15 + -24x + 36x2 = 0 + 6x + -6x
-15 + -24x + 36x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-15 + -24x + 36x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + -8x + 12x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-5 + -8x + 12x2)' equal to zero and attempt to solve:

Simplifying
-5 + -8x + 12x2 = 0

Solving
-5 + -8x + 12x2 = 0

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

Divide each side by '12'.
-0.4166666667 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '0.4166666667' to each side of the equation.
-0.4166666667 + -0.6666666667x + 0.4166666667 + x2 = 0 + 0.4166666667

Reorder the terms:
-0.4166666667 + 0.4166666667 + -0.6666666667x + x2 = 0 + 0.4166666667

Combine like terms: -0.4166666667 + 0.4166666667 = 0.0000000000
0.0000000000 + -0.6666666667x + x2 = 0 + 0.4166666667
-0.6666666667x + x2 = 0 + 0.4166666667

Combine like terms: 0 + 0.4166666667 = 0.4166666667
-0.6666666667x + x2 = 0.4166666667

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = 0.4166666667 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = 0.4166666667 + 0.1111111112

Combine like terms: 0.4166666667 + 0.1111111112 = 0.5277777779
0.1111111112 + -0.6666666667x + x2 = 0.5277777779

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = 0.5277777779

Calculate the square root of the right side: 0.726483157

Break this problem into two subproblems by setting 
(x + -0.3333333334) equal to 0.726483157 and -0.726483157.


Subproblem 1
x + -0.3333333334 = 0.726483157

Simplifying
x + -0.3333333334 = 0.726483157

Reorder the terms:
-0.3333333334 + x = 0.726483157

Solving
-0.3333333334 + x = 0.726483157

Solving for variable 'x'.

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

Add '0.3333333334' to each side of the equation.
-0.3333333334 + 0.3333333334 + x = 0.726483157 + 0.3333333334

Combine like terms: -0.3333333334 + 0.3333333334 = 0.0000000000
0.0000000000 + x = 0.726483157 + 0.3333333334
x = 0.726483157 + 0.3333333334

Combine like terms: 0.726483157 + 0.3333333334 = 1.0598164904
x = 1.0598164904

Simplifying
x = 1.0598164904


Subproblem 2
x + -0.3333333334 = -0.726483157

Simplifying
x + -0.3333333334 = -0.726483157

Reorder the terms:
-0.3333333334 + x = -0.726483157

Solving
-0.3333333334 + x = -0.726483157

Solving for variable 'x'.

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

Add '0.3333333334' to each side of the equation.
-0.3333333334 + 0.3333333334 + x = -0.726483157 + 0.3333333334

Combine like terms: -0.3333333334 + 0.3333333334 = 0.0000000000
0.0000000000 + x = -0.726483157 + 0.3333333334
x = -0.726483157 + 0.3333333334

Combine like terms: -0.726483157 + 0.3333333334 = -0.3931498236
x = -0.3931498236

Simplifying
x = -0.3931498236


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.0598164904, -0.3931498236}
Solution
x = {1.0598164904, -0.3931498236}

See similar equations:

| 25x+1200= | | 4n-5=6n-12 | | 8x^2-19x=2x^2 | | e/72=.03 | | d/3=3/4 | | 4x=2x^2+17x-30 | | .1176470588x=14 | | 3x-15x-30x-51x=53x+31x-72 | | 360=(x+20)+(x+4)+(3x+2) | | -5.62=x+11.39 | | 1600=x^2+48*x+576 | | 180=(x+20)+(x+4)+(3x+2) | | 4(7y+5y)= | | Z+-1zi=2+i | | Ifx+9.8=14.7wgar | | 75+52+67+2x=180 | | 4(x-9)-18=4x-54 | | 3x^2-2x-1=64 | | 8(x+1)=2(2x-5) | | 12(p-2.23)=-8 | | -7(x-4)=20 | | 180=(3x-20)+x+x | | Tan25.7=4.5/x | | .25n=3.25 | | (x/8)=(8/18) | | -m=-10 | | -2x(x^4-6x^3-16x^2+16x+16)=-64 | | 11.12+n=24.12 | | 14-8t-15=8t+21-5t | | n-18.14=-5.14 | | D=651 | | 1.5n=10.5 |

Equations solver categories