360=(2x+6)*(x+6)

Simple and best practice solution for 360=(2x+6)*(x+6) 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 360=(2x+6)*(x+6) equation:


Simplifying
360 = (2x + 6)(x + 6)

Reorder the terms:
360 = (6 + 2x)(x + 6)

Reorder the terms:
360 = (6 + 2x)(6 + x)

Multiply (6 + 2x) * (6 + x)
360 = (6(6 + x) + 2x * (6 + x))
360 = ((6 * 6 + x * 6) + 2x * (6 + x))
360 = ((36 + 6x) + 2x * (6 + x))
360 = (36 + 6x + (6 * 2x + x * 2x))
360 = (36 + 6x + (12x + 2x2))

Combine like terms: 6x + 12x = 18x
360 = (36 + 18x + 2x2)

Solving
360 = 36 + 18x + 2x2

Solving for variable 'x'.

Combine like terms: 360 + -36 = 324
324 + -18x + -2x2 = 36 + 18x + 2x2 + -36 + -18x + -2x2

Reorder the terms:
324 + -18x + -2x2 = 36 + -36 + 18x + -18x + 2x2 + -2x2

Combine like terms: 36 + -36 = 0
324 + -18x + -2x2 = 0 + 18x + -18x + 2x2 + -2x2
324 + -18x + -2x2 = 18x + -18x + 2x2 + -2x2

Combine like terms: 18x + -18x = 0
324 + -18x + -2x2 = 0 + 2x2 + -2x2
324 + -18x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
324 + -18x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(162 + -9x + -1x2) = 0

Factor a trinomial.
2((9 + -1x)(18 + x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Subproblem 2

Set the factor '(18 + x)' equal to zero and attempt to solve: Simplifying 18 + x = 0 Solving 18 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x = 0 + -18 x = 0 + -18 Combine like terms: 0 + -18 = -18 x = -18 Simplifying x = -18

Solution

x = {9, -18}

See similar equations:

| (2x+6)(X+6)=360 | | 114-10x=-36 | | 10(s-10)=-192 | | x/x-30=100/20 | | 7k^2=-11k-4 | | 129+-13x=38 | | 16-2r=3r+4 | | t-(3(ln(t)))-3.8631=0 | | -7x-5(2x-2)=-92 | | 3+4=6+-s | | 1.25b+7=.88b+19 | | 13x-3=55+3x+3 | | 58+2x=54 | | 24+2y=3x+2y | | 3+-4+6=-s | | 6/n=3/10 | | 3a-2=-5a-18 | | 3x-12=5x-5 | | 8/2=r/10 | | 3(3s+9)=63 | | -2x-10.5=5.5 | | -2x+74=70 | | -22+5x=-52 | | 4-6x=6x-44 | | N/0.8=0.02/5 | | 7(2l+5)=63 | | -5-4k=k-10 | | 5x+3(-2x+18)=63 | | 8d-1/3(6-9d=42) | | 3x-24=7x-7 | | 5+2(7r)-2r+16-3(7r)=2r+4(r-6) | | 15-5b=3-2b |

Equations solver categories