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

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


Simplifying
x2 + x + 9 = (3x + 2)(x + -8)

Reorder the terms:
9 + x + x2 = (3x + 2)(x + -8)

Reorder the terms:
9 + x + x2 = (2 + 3x)(x + -8)

Reorder the terms:
9 + x + x2 = (2 + 3x)(-8 + x)

Multiply (2 + 3x) * (-8 + x)
9 + x + x2 = (2(-8 + x) + 3x * (-8 + x))
9 + x + x2 = ((-8 * 2 + x * 2) + 3x * (-8 + x))
9 + x + x2 = ((-16 + 2x) + 3x * (-8 + x))
9 + x + x2 = (-16 + 2x + (-8 * 3x + x * 3x))
9 + x + x2 = (-16 + 2x + (-24x + 3x2))

Combine like terms: 2x + -24x = -22x
9 + x + x2 = (-16 + -22x + 3x2)

Solving
9 + x + x2 = -16 + -22x + 3x2

Solving for variable 'x'.

Reorder the terms:
9 + 16 + x + 22x + x2 + -3x2 = -16 + -22x + 3x2 + 16 + 22x + -3x2

Combine like terms: 9 + 16 = 25
25 + x + 22x + x2 + -3x2 = -16 + -22x + 3x2 + 16 + 22x + -3x2

Combine like terms: x + 22x = 23x
25 + 23x + x2 + -3x2 = -16 + -22x + 3x2 + 16 + 22x + -3x2

Combine like terms: x2 + -3x2 = -2x2
25 + 23x + -2x2 = -16 + -22x + 3x2 + 16 + 22x + -3x2

Reorder the terms:
25 + 23x + -2x2 = -16 + 16 + -22x + 22x + 3x2 + -3x2

Combine like terms: -16 + 16 = 0
25 + 23x + -2x2 = 0 + -22x + 22x + 3x2 + -3x2
25 + 23x + -2x2 = -22x + 22x + 3x2 + -3x2

Combine like terms: -22x + 22x = 0
25 + 23x + -2x2 = 0 + 3x2 + -3x2
25 + 23x + -2x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
25 + 23x + -2x2 = 0

Factor a trinomial.
(25 + -2x)(1 + x) = 0


Subproblem 1
Set the factor '(25 + -2x)' equal to zero and attempt to solve:

Simplifying
25 + -2x = 0

Solving
25 + -2x = 0

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

Add '-25' to each side of the equation.
25 + -25 + -2x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -2x = 0 + -25
-2x = 0 + -25

Combine like terms: 0 + -25 = -25
-2x = -25

Divide each side by '-2'.
x = 12.5

Simplifying
x = 12.5

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

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {12.5, -1}

See similar equations:

| 35x+25=700+40 | | 6+3c=38-c | | 7x+3=6x+26 | | f(x)=5x^3+15x^2-120x | | 5x+5-6x=2x+17-7x | | 35x(25+40)=700 | | 9y+7=31+y | | y-2=-3(x-5) | | 100+80t+4b= | | 34.7x+40.9+38.8x+18.8= | | 4x+6-2x=2(x-3) | | -4x^2-12x-10=0 | | x(x+4)=-84 | | 7x^2-36x+6=0 | | 3x(x-1)+15=7 | | 40+2y-16=11y-11-4y | | 1223423123x=213123123 | | -3x+18=-10x+4 | | 3x+9=5x-19 | | 6(2.5)+3y=12 | | (3x)(3x-2)(x)=540 | | 0=0.3x^2+2x-50 | | x-55=10 | | 2q^3-5q^2-500=0 | | 42-n*n=n | | 1996+43x=0 | | log(10)x+log(10)x-1=log(10)30 | | -24+11=5x+3-4x | | .10(c+3)=-12 | | log(x)+log(x-1)=log(30) | | 21-x=28 | | n-n*n=72 |

Equations solver categories