8x(3x+2)-(x-3)=8(x-5)+9

Simple and best practice solution for 8x(3x+2)-(x-3)=8(x-5)+9 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 8x(3x+2)-(x-3)=8(x-5)+9 equation:


Simplifying
8x(3x + 2) + -1(x + -3) = 8(x + -5) + 9

Reorder the terms:
8x(2 + 3x) + -1(x + -3) = 8(x + -5) + 9
(2 * 8x + 3x * 8x) + -1(x + -3) = 8(x + -5) + 9
(16x + 24x2) + -1(x + -3) = 8(x + -5) + 9

Reorder the terms:
16x + 24x2 + -1(-3 + x) = 8(x + -5) + 9
16x + 24x2 + (-3 * -1 + x * -1) = 8(x + -5) + 9
16x + 24x2 + (3 + -1x) = 8(x + -5) + 9

Reorder the terms:
3 + 16x + -1x + 24x2 = 8(x + -5) + 9

Combine like terms: 16x + -1x = 15x
3 + 15x + 24x2 = 8(x + -5) + 9

Reorder the terms:
3 + 15x + 24x2 = 8(-5 + x) + 9
3 + 15x + 24x2 = (-5 * 8 + x * 8) + 9
3 + 15x + 24x2 = (-40 + 8x) + 9

Reorder the terms:
3 + 15x + 24x2 = -40 + 9 + 8x

Combine like terms: -40 + 9 = -31
3 + 15x + 24x2 = -31 + 8x

Solving
3 + 15x + 24x2 = -31 + 8x

Solving for variable 'x'.

Reorder the terms:
3 + 31 + 15x + -8x + 24x2 = -31 + 8x + 31 + -8x

Combine like terms: 3 + 31 = 34
34 + 15x + -8x + 24x2 = -31 + 8x + 31 + -8x

Combine like terms: 15x + -8x = 7x
34 + 7x + 24x2 = -31 + 8x + 31 + -8x

Reorder the terms:
34 + 7x + 24x2 = -31 + 31 + 8x + -8x

Combine like terms: -31 + 31 = 0
34 + 7x + 24x2 = 0 + 8x + -8x
34 + 7x + 24x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
34 + 7x + 24x2 = 0

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

Divide each side by '24'.
1.416666667 + 0.2916666667x + x2 = 0

Move the constant term to the right:

Add '-1.416666667' to each side of the equation.
1.416666667 + 0.2916666667x + -1.416666667 + x2 = 0 + -1.416666667

Reorder the terms:
1.416666667 + -1.416666667 + 0.2916666667x + x2 = 0 + -1.416666667

Combine like terms: 1.416666667 + -1.416666667 = 0.000000000
0.000000000 + 0.2916666667x + x2 = 0 + -1.416666667
0.2916666667x + x2 = 0 + -1.416666667

Combine like terms: 0 + -1.416666667 = -1.416666667
0.2916666667x + x2 = -1.416666667

The x term is 0.2916666667x.  Take half its coefficient (0.1458333334).
Square it (0.02126736113) and add it to both sides.

Add '0.02126736113' to each side of the equation.
0.2916666667x + 0.02126736113 + x2 = -1.416666667 + 0.02126736113

Reorder the terms:
0.02126736113 + 0.2916666667x + x2 = -1.416666667 + 0.02126736113

Combine like terms: -1.416666667 + 0.02126736113 = -1.39539930587
0.02126736113 + 0.2916666667x + x2 = -1.39539930587

Factor a perfect square on the left side:
(x + 0.1458333334)(x + 0.1458333334) = -1.39539930587

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| u+48+u-18+u=180 | | -5x-6=49 | | 4a-3=25 | | -52+11x=7x+20 | | (2x+2)(2x+4)=132 | | F(k)=-4.9x^2+0.4x-0.2 | | -56=8q | | (l)36=52+36 | | w+24=6 | | w-(-3u)=u+5w | | 39+3x+(x+35)=150 | | 39+3x+(x+35)=360 | | Ln[1-4cos^2(x)]=0 | | 5x-3+2(x+1)=-4(3x-2) | | (1/2)ln2 | | -20=y-11 | | (2x^2)+21x-6.1=0 | | (1600)(.10)= | | 38-5x=8 | | 3+2x=4[x-5(2-x)] | | 8x-2=5x+26 | | y=2.5/5 | | 2033.33(1-x/100)-625000=374998.5 | | 3x-5-x=2(5-4x) | | 2z+150=360 | | 6-5[8-(7y-4)]= | | 16+v=16 | | 25t^2=4 | | 6x+4=88 | | 7x^2=-44x+35 | | 4c/4=12⋅4 | | 0=2p^3-p^2-6p |

Equations solver categories