(7w^2-4w-1)+(3w^2-6w+2)=

Simple and best practice solution for (7w^2-4w-1)+(3w^2-6w+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 (7w^2-4w-1)+(3w^2-6w+2)= equation:


Simplifying
(7w2 + -4w + -1) + (3w2 + -6w + 2) = 0

Reorder the terms:
(-1 + -4w + 7w2) + (3w2 + -6w + 2) = 0

Remove parenthesis around (-1 + -4w + 7w2)
-1 + -4w + 7w2 + (3w2 + -6w + 2) = 0

Reorder the terms:
-1 + -4w + 7w2 + (2 + -6w + 3w2) = 0

Remove parenthesis around (2 + -6w + 3w2)
-1 + -4w + 7w2 + 2 + -6w + 3w2 = 0

Reorder the terms:
-1 + 2 + -4w + -6w + 7w2 + 3w2 = 0

Combine like terms: -1 + 2 = 1
1 + -4w + -6w + 7w2 + 3w2 = 0

Combine like terms: -4w + -6w = -10w
1 + -10w + 7w2 + 3w2 = 0

Combine like terms: 7w2 + 3w2 = 10w2
1 + -10w + 10w2 = 0

Solving
1 + -10w + 10w2 = 0

Solving for variable 'w'.

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

Divide each side by '10'.
0.1 + -1w + w2 = 0.0

Move the constant term to the right:

Add '-0.1' to each side of the equation.
0.1 + -1w + -0.1 + w2 = 0.0 + -0.1

Reorder the terms:
0.1 + -0.1 + -1w + w2 = 0.0 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + -1w + w2 = 0.0 + -0.1
-1w + w2 = 0.0 + -0.1

Combine like terms: 0.0 + -0.1 = -0.1
-1w + w2 = -0.1

The w term is -1w.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1w + 0.25 + w2 = -0.1 + 0.25

Reorder the terms:
0.25 + -1w + w2 = -0.1 + 0.25

Combine like terms: -0.1 + 0.25 = 0.15
0.25 + -1w + w2 = 0.15

Factor a perfect square on the left side:
(w + -0.5)(w + -0.5) = 0.15

Calculate the square root of the right side: 0.387298335

Break this problem into two subproblems by setting 
(w + -0.5) equal to 0.387298335 and -0.387298335.

Subproblem 1

w + -0.5 = 0.387298335 Simplifying w + -0.5 = 0.387298335 Reorder the terms: -0.5 + w = 0.387298335 Solving -0.5 + w = 0.387298335 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + w = 0.387298335 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + w = 0.387298335 + 0.5 w = 0.387298335 + 0.5 Combine like terms: 0.387298335 + 0.5 = 0.887298335 w = 0.887298335 Simplifying w = 0.887298335

Subproblem 2

w + -0.5 = -0.387298335 Simplifying w + -0.5 = -0.387298335 Reorder the terms: -0.5 + w = -0.387298335 Solving -0.5 + w = -0.387298335 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + w = -0.387298335 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + w = -0.387298335 + 0.5 w = -0.387298335 + 0.5 Combine like terms: -0.387298335 + 0.5 = 0.112701665 w = 0.112701665 Simplifying w = 0.112701665

Solution

The solution to the problem is based on the solutions from the subproblems. w = {0.887298335, 0.112701665}

See similar equations:

| 2n=69 | | 2[-(x-1)+4]=5+[-(6x-7)+9x] | | 2x+8x-10=180 | | 55h+275=440 | | 257-7x=38x+17 | | 7-10x=115-31x | | -7-10x=115-31x | | x+(x+29)+(3x-38)=531 | | 2x^3-5x^2-14x+35=0 | | 3+6=x-9 | | 2P^2+2P-1=0 | | 4x=-21x+3 | | x+0.7=5.8 | | 0.50x+0.25(30)=24.5 | | 7=x+17 | | -32-3x=8-8x | | 2x+450000=625000000 | | 66-4x=10x+24 | | 6x-3(5x+2)=4(1-x) | | 15x^2+13x=0 | | -6+x=14 | | 5x+19=15x-71 | | 5(c-9)=-20 | | -x+18+3x+6=6x+24 | | 5x+1.2=6.7 | | 13x=-48+113 | | -(7y+1)-(-6y-8)=7 | | 4x^2-12x+27=0 | | 2y^2+5y-2=0 | | 6x-147=x | | 2(5x-1)=33 | | t^2-49=0 |

Equations solver categories