9=(x-6)(x+2)

Simple and best practice solution for 9=(x-6)(x+2) 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 9=(x-6)(x+2) equation: 


Simplifying
9 = (x + -6)(x + 2)

Reorder the terms:
9 = (-6 + x)(x + 2)

Reorder the terms:
9 = (-6 + x)(2 + x)

Multiply (-6 + x) * (2 + x)
9 = (-6(2 + x) + x(2 + x))
9 = ((2 * -6 + x * -6) + x(2 + x))
9 = ((-12 + -6x) + x(2 + x))
9 = (-12 + -6x + (2 * x + x * x))
9 = (-12 + -6x + (2x + x2))

Combine like terms: -6x + 2x = -4x
9 = (-12 + -4x + x2)

Solving
9 = -12 + -4x + x2

Solving for variable 'x'.

Combine like terms: 9 + 12 = 21
21 + 4x + -1x2 = -12 + -4x + x2 + 12 + 4x + -1x2

Reorder the terms:
21 + 4x + -1x2 = -12 + 12 + -4x + 4x + x2 + -1x2

Combine like terms: -12 + 12 = 0
21 + 4x + -1x2 = 0 + -4x + 4x + x2 + -1x2
21 + 4x + -1x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
21 + 4x + -1x2 = 0 + x2 + -1x2
21 + 4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
21 + 4x + -1x2 = 0

Factor a trinomial.
(7 + -1x)(3 + x) = 0


Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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

Simplifying
3 + x = 0

Solving
3 + x = 0

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

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

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

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

Simplifying
x = -3
Solution
x = {7, -3}

See similar equations:

| 4(3-w)=24 | | 4-2t=29-7t | | 6/4y-10=-4 | | 0=-.004x^2+12x-1500 | | 6s+5=15-4s | | (5r)(-2)=80 | | 9(c-4)=4+8c | | x^1/5∙x^1/6 | | 1/x(6x²) | | 6+5p=2p-21 | | x^(1/5)∙x^(1/6)= | | (x+5)2+3=(x-2)2 | | x^(1/5)∙x^(1/6) | | 48x^2-72x+324=0 | | 5-4r=9+2r | | 1/x(6xⁿ) | | -7+3x-4+2x= | | 7y=x+49 | | x^2+16x-7=4 | | 6(x+4)=x+2(x+11) | | 7n-8=2n+7 | | -5+-3x+-10x= | | x-10=.25+2 | | 6m+7=3m-2 | | 3x+10-x=7+x+1 | | 1y+2x=2 | | 8.4g=-15.6+4.4g | | x^2+16x+14=-1 | | 4+7p=3p | | -3(n+1)=-2n-4 | | y+y+-10x= | | -6x^4+48x^2-32=0 |

Equations solver categories