10x(x-2)=-5x(x-3)+8(x-1)

Simple and best practice solution for 10x(x-2)=-5x(x-3)+8(x-1) 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 10x(x-2)=-5x(x-3)+8(x-1) equation: 


Simplifying
10x(x + -2) = -5x(x + -3) + 8(x + -1)

Reorder the terms:
10x(-2 + x) = -5x(x + -3) + 8(x + -1)
(-2 * 10x + x * 10x) = -5x(x + -3) + 8(x + -1)
(-20x + 10x2) = -5x(x + -3) + 8(x + -1)

Reorder the terms:
-20x + 10x2 = -5x(-3 + x) + 8(x + -1)
-20x + 10x2 = (-3 * -5x + x * -5x) + 8(x + -1)
-20x + 10x2 = (15x + -5x2) + 8(x + -1)

Reorder the terms:
-20x + 10x2 = 15x + -5x2 + 8(-1 + x)
-20x + 10x2 = 15x + -5x2 + (-1 * 8 + x * 8)
-20x + 10x2 = 15x + -5x2 + (-8 + 8x)

Reorder the terms:
-20x + 10x2 = -8 + 15x + 8x + -5x2

Combine like terms: 15x + 8x = 23x
-20x + 10x2 = -8 + 23x + -5x2

Solving
-20x + 10x2 = -8 + 23x + -5x2

Solving for variable 'x'.

Reorder the terms:
8 + -20x + -23x + 10x2 + 5x2 = -8 + 23x + -5x2 + 8 + -23x + 5x2

Combine like terms: -20x + -23x = -43x
8 + -43x + 10x2 + 5x2 = -8 + 23x + -5x2 + 8 + -23x + 5x2

Combine like terms: 10x2 + 5x2 = 15x2
8 + -43x + 15x2 = -8 + 23x + -5x2 + 8 + -23x + 5x2

Reorder the terms:
8 + -43x + 15x2 = -8 + 8 + 23x + -23x + -5x2 + 5x2

Combine like terms: -8 + 8 = 0
8 + -43x + 15x2 = 0 + 23x + -23x + -5x2 + 5x2
8 + -43x + 15x2 = 23x + -23x + -5x2 + 5x2

Combine like terms: 23x + -23x = 0
8 + -43x + 15x2 = 0 + -5x2 + 5x2
8 + -43x + 15x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
8 + -43x + 15x2 = 0

Factor a trinomial.
(1 + -5x)(8 + -3x) = 0


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

Simplifying
1 + -5x = 0

Solving
1 + -5x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 0 + -1
-5x = 0 + -1

Combine like terms: 0 + -1 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2

Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667
Solution
x = {0.2, 2.666666667}

See similar equations:

| -x+6-x=-x+18 | | 5x-3+7=74 | | 11(x+2)=77 | | 23-5x=68 | | 3m+5q=9+4q | | 8q-2q=6 | | 3x^2+4x-96=0 | | 10y(y+5)=10 | | 28y^2+5y+8= | | 8n^2+10n+3=0 | | 5m-3m-2=8 | | x(3x+4)+x(2x-1)= | | 16+2(2x+3)=38 | | 2x+8forx=7 | | X+(y^3)x^4= | | -4=-(q-8)+-7 | | B=.70*1.75 | | 5(1+3v)+10(2v+2)= | | -19+4n=-7(1-n)-3 | | 22=8-8p-2 | | 6+3u=4y-8 | | 1122=93.5h | | -22+2(y-9)= | | -8-r=-12 | | 2.95x+1.75=10.60 | | 8(x+6)+4=8x+7 | | 11t+6t-16t-1=8 | | 5(g+8)-7=1 | | 4-9x+3+12x= | | -7(b-4)=70 | | 6x+4+3=7x+1 | | 4x+9+6x+10=10x+19 |

Equations solver categories