1w(-2w+50)=150

Simple and best practice solution for 1w(-2w+50)=150 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 1w(-2w+50)=150 equation: 


Simplifying
1w(-2w + 50) = 150

Reorder the terms:
1w(50 + -2w) = 150
(50 * 1w + -2w * 1w) = 150
(50w + -2w2) = 150

Solving
50w + -2w2 = 150

Solving for variable 'w'.

Reorder the terms:
-150 + 50w + -2w2 = 150 + -150

Combine like terms: 150 + -150 = 0
-150 + 50w + -2w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-75 + 25w + -1w2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-75 + 25w + -1w2)' equal to zero and attempt to solve:

Simplifying
-75 + 25w + -1w2 = 0

Solving
-75 + 25w + -1w2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
75 + -25w + w2 = 0

Move the constant term to the right:

Add '-75' to each side of the equation.
75 + -25w + -75 + w2 = 0 + -75

Reorder the terms:
75 + -75 + -25w + w2 = 0 + -75

Combine like terms: 75 + -75 = 0
0 + -25w + w2 = 0 + -75
-25w + w2 = 0 + -75

Combine like terms: 0 + -75 = -75
-25w + w2 = -75

The w term is -25w.  Take half its coefficient (-12.5).
Square it (156.25) and add it to both sides.

Add '156.25' to each side of the equation.
-25w + 156.25 + w2 = -75 + 156.25

Reorder the terms:
156.25 + -25w + w2 = -75 + 156.25

Combine like terms: -75 + 156.25 = 81.25
156.25 + -25w + w2 = 81.25

Factor a perfect square on the left side:
(w + -12.5)(w + -12.5) = 81.25

Calculate the square root of the right side: 9.013878189

Break this problem into two subproblems by setting 
(w + -12.5) equal to 9.013878189 and -9.013878189.


Subproblem 1
w + -12.5 = 9.013878189

Simplifying
w + -12.5 = 9.013878189

Reorder the terms:
-12.5 + w = 9.013878189

Solving
-12.5 + w = 9.013878189

Solving for variable 'w'.

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

Add '12.5' to each side of the equation.
-12.5 + 12.5 + w = 9.013878189 + 12.5

Combine like terms: -12.5 + 12.5 = 0.0
0.0 + w = 9.013878189 + 12.5
w = 9.013878189 + 12.5

Combine like terms: 9.013878189 + 12.5 = 21.513878189
w = 21.513878189

Simplifying
w = 21.513878189


Subproblem 2
w + -12.5 = -9.013878189

Simplifying
w + -12.5 = -9.013878189

Reorder the terms:
-12.5 + w = -9.013878189

Solving
-12.5 + w = -9.013878189

Solving for variable 'w'.

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

Add '12.5' to each side of the equation.
-12.5 + 12.5 + w = -9.013878189 + 12.5

Combine like terms: -12.5 + 12.5 = 0.0
0.0 + w = -9.013878189 + 12.5
w = -9.013878189 + 12.5

Combine like terms: -9.013878189 + 12.5 = 3.486121811
w = 3.486121811

Simplifying
w = 3.486121811


Solution
The solution to the problem is based on the solutions
from the subproblems.
w = {21.513878189, 3.486121811}
Solution
w = {21.513878189, 3.486121811}

See similar equations:

| -7(u-8)=3(u+4) | | e^5x=3 | | -4a-2(a+9)=6 | | 768=-h^3+6h^2+8h | | 5m^2-20n=0 | | 13-6x=2x-25-3 | | 13-6x=2x-25+3 | | 768=h^3+6h^2+8h | | 6n^2-n-12=0 | | 768=h^3+12h^2+64h | | 4(x+1)=2x+(1-x) | | 25/20 | | 768=-h^3+12h^2+64h | | 3/4x+1/3y=7 | | -132.6*(-53.78)= | | 85+2x=180 | | 7x=x+14 | | 7x-14=x | | 2.5x-3.5y=7 | | x(x+2)=146 | | 8-1/3x=13 | | x/4-9=0 | | -(2x+3)-7=4x*5 | | x-9y=16 | | -4(x+5)+8=-12 | | 6z-7=7z-1 | | x+3/4=7 | | 3-1=5+1 | | 3x-9x=54 | | -3x+12=-6-18 | | 6x+5=-5+3x+25 | | 4+(m-2)=12 |

Equations solver categories