8x(x+9)=9x+8

Simple and best practice solution for 8x(x+9)=9x+8 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(x+9)=9x+8 equation: 


Simplifying
8x(x + 9) = 9x + 8

Reorder the terms:
8x(9 + x) = 9x + 8
(9 * 8x + x * 8x) = 9x + 8
(72x + 8x2) = 9x + 8

Reorder the terms:
72x + 8x2 = 8 + 9x

Solving
72x + 8x2 = 8 + 9x

Solving for variable 'x'.

Reorder the terms:
-8 + 72x + -9x + 8x2 = 8 + 9x + -8 + -9x

Combine like terms: 72x + -9x = 63x
-8 + 63x + 8x2 = 8 + 9x + -8 + -9x

Reorder the terms:
-8 + 63x + 8x2 = 8 + -8 + 9x + -9x

Combine like terms: 8 + -8 = 0
-8 + 63x + 8x2 = 0 + 9x + -9x
-8 + 63x + 8x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
-8 + 63x + 8x2 = 0

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


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

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 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 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(1 + -8x)' equal to zero and attempt to solve:

Simplifying
1 + -8x = 0

Solving
1 + -8x = 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 + -8x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8x = 0 + -1
-8x = 0 + -1

Combine like terms: 0 + -1 = -1
-8x = -1

Divide each side by '-8'.
x = 0.125

Simplifying
x = 0.125
Solution
x = {-8, 0.125}

See similar equations:

| 2x*2x-3x=0 | | f(X)=9x+15 | | -20x^2+27xy-9y^2= | | 14+3(2x+5)=37 | | abs(2x-5)=2x | | 29+6x=37 | | 2.31=(2d)+p | | 3x-4=4x+9 | | w^3-5w^2-7w+8= | | Z=P(y-z) | | 437+13=62 | | 0.00000773=2x^2/(3.9-x) | | 6/3c=2/3 | | 4x^2-70x+120=0 | | Log(5x)=-2 | | -10-2=10 | | x*2=75+x | | x/2=9-x | | x=-y^2+13y-45 | | x=9/6=7/3=x-6/4 | | 6x-5/x-7 | | X^2+22x-456=0 | | 4(v-9)=2v-28 | | (7u-u)(4u+5)=0 | | k(t)=13t-3 | | 31x=2x | | 3(x+9)=2[x-(3-x)] | | (3b)+b=68 | | 3(x-6)-6(x-3)=x+3-(x-9) | | 1200r+700=1000000 | | (x-2)+(x-2)+(x-2)=36 | | v+-10=-9 |

Equations solver categories