(w+6)(w+6)=3(w+12)-w^2

Simple and best practice solution for (w+6)(w+6)=3(w+12)-w^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 (w+6)(w+6)=3(w+12)-w^2 equation:


Simplifying
(w + 6)(w + 6) = 3(w + 12) + -1w2

Reorder the terms:
(6 + w)(w + 6) = 3(w + 12) + -1w2

Reorder the terms:
(6 + w)(6 + w) = 3(w + 12) + -1w2

Multiply (6 + w) * (6 + w)
(6(6 + w) + w(6 + w)) = 3(w + 12) + -1w2
((6 * 6 + w * 6) + w(6 + w)) = 3(w + 12) + -1w2
((36 + 6w) + w(6 + w)) = 3(w + 12) + -1w2
(36 + 6w + (6 * w + w * w)) = 3(w + 12) + -1w2
(36 + 6w + (6w + w2)) = 3(w + 12) + -1w2

Combine like terms: 6w + 6w = 12w
(36 + 12w + w2) = 3(w + 12) + -1w2

Reorder the terms:
36 + 12w + w2 = 3(12 + w) + -1w2
36 + 12w + w2 = (12 * 3 + w * 3) + -1w2
36 + 12w + w2 = (36 + 3w) + -1w2

Add '-36' to each side of the equation.
36 + 12w + -36 + w2 = 36 + 3w + -36 + -1w2

Reorder the terms:
36 + -36 + 12w + w2 = 36 + 3w + -36 + -1w2

Combine like terms: 36 + -36 = 0
0 + 12w + w2 = 36 + 3w + -36 + -1w2
12w + w2 = 36 + 3w + -36 + -1w2

Reorder the terms:
12w + w2 = 36 + -36 + 3w + -1w2

Combine like terms: 36 + -36 = 0
12w + w2 = 0 + 3w + -1w2
12w + w2 = 3w + -1w2

Solving
12w + w2 = 3w + -1w2

Solving for variable 'w'.

Reorder the terms:
12w + -3w + w2 + w2 = 3w + -1w2 + -3w + w2

Combine like terms: 12w + -3w = 9w
9w + w2 + w2 = 3w + -1w2 + -3w + w2

Combine like terms: w2 + w2 = 2w2
9w + 2w2 = 3w + -1w2 + -3w + w2

Reorder the terms:
9w + 2w2 = 3w + -3w + -1w2 + w2

Combine like terms: 3w + -3w = 0
9w + 2w2 = 0 + -1w2 + w2
9w + 2w2 = -1w2 + w2

Combine like terms: -1w2 + w2 = 0
9w + 2w2 = 0

Factor out the Greatest Common Factor (GCF), 'w'.
w(9 + 2w) = 0

Subproblem 1

Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0

Subproblem 2

Set the factor '(9 + 2w)' equal to zero and attempt to solve: Simplifying 9 + 2w = 0 Solving 9 + 2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2w = 0 + -9 2w = 0 + -9 Combine like terms: 0 + -9 = -9 2w = -9 Divide each side by '2'. w = -4.5 Simplifying w = -4.5

Solution

w = {0, -4.5}

See similar equations:

| uw+uq=r | | Cos(x)=64 | | 4x-(2x+5)=12 | | -8x+32=-8(6x+6) | | 1-2x=2x+8 | | 5x+2x+4=64 | | 17x+1x=288 | | 6y^6+4y^4=gcf | | (x^2-6x+9)(x^2-4-4i)=f(x) | | 2k-10=3k+8 | | 27x+5=38x | | 5y=8x-120 | | 2x+5-12=24-5X | | -4p+12.1=2.1 | | 64-(6x+7)=6(x+3)+x | | y^3+y^2-16y=48 | | 6y^6+4y^4= | | 3x^2+65x+150=0 | | (2*3*6)*(4+R)=0 | | 6s^2-47s+35=0 | | 7x+12=8x-3 | | 1.76g-6=0.16 | | 3(8-x)-48=27x-6(4+5x) | | 4(3x-y)=24-3x | | 1.76-6=0.16 | | X+38=31 | | 3x-3=17+8x | | 3(8x-x)-48=27x-6(4+5x) | | 30x^2+41x+6=0 | | 8x^2=7-3x | | x^2+4x-3x-12=8 | | 28t-16t^2=20 |

Equations solver categories