(x)2+6x+9=(2x-3)(x+3)

Simple and best practice solution for (x)2+6x+9=(2x-3)(x+3) 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+6x+9=(2x-3)(x+3) equation: 


Simplifying
(x) * 2 + 6x + 9 = (2x + -3)(x + 3)

Reorder the terms for easier multiplication:
2x + 6x + 9 = (2x + -3)(x + 3)

Reorder the terms:
9 + 2x + 6x = (2x + -3)(x + 3)

Combine like terms: 2x + 6x = 8x
9 + 8x = (2x + -3)(x + 3)

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

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

Multiply (-3 + 2x) * (3 + x)
9 + 8x = (-3(3 + x) + 2x * (3 + x))
9 + 8x = ((3 * -3 + x * -3) + 2x * (3 + x))
9 + 8x = ((-9 + -3x) + 2x * (3 + x))
9 + 8x = (-9 + -3x + (3 * 2x + x * 2x))
9 + 8x = (-9 + -3x + (6x + 2x2))

Combine like terms: -3x + 6x = 3x
9 + 8x = (-9 + 3x + 2x2)

Solving
9 + 8x = -9 + 3x + 2x2

Solving for variable 'x'.

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

Combine like terms: 9 + 9 = 18
18 + 8x + -3x + -2x2 = -9 + 3x + 2x2 + 9 + -3x + -2x2

Combine like terms: 8x + -3x = 5x
18 + 5x + -2x2 = -9 + 3x + 2x2 + 9 + -3x + -2x2

Reorder the terms:
18 + 5x + -2x2 = -9 + 9 + 3x + -3x + 2x2 + -2x2

Combine like terms: -9 + 9 = 0
18 + 5x + -2x2 = 0 + 3x + -3x + 2x2 + -2x2
18 + 5x + -2x2 = 3x + -3x + 2x2 + -2x2

Combine like terms: 3x + -3x = 0
18 + 5x + -2x2 = 0 + 2x2 + -2x2
18 + 5x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
18 + 5x + -2x2 = 0

Factor a trinomial.
(9 + -2x)(2 + x) = 0


Subproblem 1
Set the factor '(9 + -2x)' equal to zero and attempt to solve:

Simplifying
9 + -2x = 0

Solving
9 + -2x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

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

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

Simplifying
x = -2
Solution
x = {4.5, -2}

See similar equations:

| 1/5÷1/10 | | 4(x-1)-3(2x-3)=5 | | 5232.416/266.96 | | (10b^4+9b+2)+(5b-8b^4)= | | -6i-10=38 | | -61-10=38 | | -8(x-3)-2(y-7)=0 | | -5h-7=38 | | 2g-12=36 | | (9v^4+6v+7)+(10x^2+x^3)= | | af-3=24 | | (9v^4+6v+7)-(10x^2+x^3)= | | -8e+3=35 | | 1888/32/8 | | -7d+4=32 | | (3m^3+9)-(4m^3-8)= | | l[n^2(x)]/x=0 | | [ln^2(x)]/x | | (5+10b^2)-(5-7b^2)= | | 2x+x+15=48 | | 17x-7=20x+8 | | 0,3x=120 | | 2x*4y=x*y*z | | (X^6)1/6=(729)1/6 | | 0.8x=x | | 2(3x-6)/3=7(x-2)/4=0 | | x^2y+4y=x | | 3x+3x+x+x=96 | | 3x+3x=96 | | 7-x=3x+11 | | 5d-6=14 | | 12x+32=12x-17 |

Equations solver categories