w*(w+3)=270

Simple and best practice solution for w*(w+3)=270 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*(w+3)=270 equation:


Simplifying
w(w + 3) = 270

Reorder the terms:
w(3 + w) = 270
(3 * w + w * w) = 270
(3w + w2) = 270

Solving
3w + w2 = 270

Solving for variable 'w'.

Reorder the terms:
-270 + 3w + w2 = 270 + -270

Combine like terms: 270 + -270 = 0
-270 + 3w + w2 = 0

Factor a trinomial.
(-18 + -1w)(15 + -1w) = 0

Subproblem 1

Set the factor '(-18 + -1w)' equal to zero and attempt to solve: Simplifying -18 + -1w = 0 Solving -18 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1w = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1w = 0 + 18 -1w = 0 + 18 Combine like terms: 0 + 18 = 18 -1w = 18 Divide each side by '-1'. w = -18 Simplifying w = -18

Subproblem 2

Set the factor '(15 + -1w)' equal to zero and attempt to solve: Simplifying 15 + -1w = 0 Solving 15 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1w = 0 + -15 -1w = 0 + -15 Combine like terms: 0 + -15 = -15 -1w = -15 Divide each side by '-1'. w = 15 Simplifying w = 15

Solution

w = {-18, 15}

See similar equations:

| 5x-x=150 | | x^3+2x^2-1=0 | | 6m-9=3m+21 | | 18x+3=-150+10x+5 | | r+(4r-30)=35 | | S+C=xC | | 5x+1+4x+2=12 | | MX+nx=px | | lnx=2.1 | | (9y^2-4y+2)-(5y^2-4y+5)= | | 5x+55-4+6=50 | | 5x+55-4+6=5 | | (x+2)*2-x*2=31-5*x | | 4+8=x-18 | | 12x-25+20x=9x-7 | | 2x=-14+20 | | 81(1-3x)=27 | | 10b-2(-2b-8)=3(12b+2)-12 | | 16+8n=-8(8+n) | | 3x+112=224 | | -x^2+9x+20=0 | | 8x-8=4(x-1) | | 2(-3x-4)=-20-2x | | -5(-3x-1)=8x+33 | | 3(w-4)+2w=3 | | 17a+3=11a+39 | | 2(r+3)=16 | | 5(x+9)=45+5x | | 39-8x=5(5x-5)-x | | 5(x+9)=46+5x | | 8x-2x-3=0 | | 5(c+9)=46+5x |

Equations solver categories