526=2(3w+7)2w

Simple and best practice solution for 526=2(3w+7)2w 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 526=2(3w+7)2w equation: 


Simplifying
526 = 2(3w + 7) * 2w

Reorder the terms:
526 = 2(7 + 3w) * 2w

Reorder the terms for easier multiplication:
526 = 2 * 2w(7 + 3w)

Multiply 2 * 2
526 = 4w(7 + 3w)
526 = (7 * 4w + 3w * 4w)
526 = (28w + 12w2)

Solving
526 = 28w + 12w2

Solving for variable 'w'.

Reorder the terms:
526 + -28w + -12w2 = 28w + -28w + 12w2 + -12w2

Combine like terms: 28w + -28w = 0
526 + -28w + -12w2 = 0 + 12w2 + -12w2
526 + -28w + -12w2 = 12w2 + -12w2

Combine like terms: 12w2 + -12w2 = 0
526 + -28w + -12w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(263 + -14w + -6w2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(263 + -14w + -6w2)' equal to zero and attempt to solve:

Simplifying
263 + -14w + -6w2 = 0

Solving
263 + -14w + -6w2 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
-43.83333333 + 2.333333333w + w2 = 0

Move the constant term to the right:

Add '43.83333333' to each side of the equation.
-43.83333333 + 2.333333333w + 43.83333333 + w2 = 0 + 43.83333333

Reorder the terms:
-43.83333333 + 43.83333333 + 2.333333333w + w2 = 0 + 43.83333333

Combine like terms: -43.83333333 + 43.83333333 = 0.00000000
0.00000000 + 2.333333333w + w2 = 0 + 43.83333333
2.333333333w + w2 = 0 + 43.83333333

Combine like terms: 0 + 43.83333333 = 43.83333333
2.333333333w + w2 = 43.83333333

The w term is 2.333333333w.  Take half its coefficient (1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
2.333333333w + 1.361111112 + w2 = 43.83333333 + 1.361111112

Reorder the terms:
1.361111112 + 2.333333333w + w2 = 43.83333333 + 1.361111112

Combine like terms: 43.83333333 + 1.361111112 = 45.194444442
1.361111112 + 2.333333333w + w2 = 45.194444442

Factor a perfect square on the left side:
(w + 1.166666667)(w + 1.166666667) = 45.194444442

Calculate the square root of the right side: 6.722681343

Break this problem into two subproblems by setting 
(w + 1.166666667) equal to 6.722681343 and -6.722681343.


Subproblem 1
w + 1.166666667 = 6.722681343

Simplifying
w + 1.166666667 = 6.722681343

Reorder the terms:
1.166666667 + w = 6.722681343

Solving
1.166666667 + w = 6.722681343

Solving for variable 'w'.

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

Add '-1.166666667' to each side of the equation.
1.166666667 + -1.166666667 + w = 6.722681343 + -1.166666667

Combine like terms: 1.166666667 + -1.166666667 = 0.000000000
0.000000000 + w = 6.722681343 + -1.166666667
w = 6.722681343 + -1.166666667

Combine like terms: 6.722681343 + -1.166666667 = 5.556014676
w = 5.556014676

Simplifying
w = 5.556014676


Subproblem 2
w + 1.166666667 = -6.722681343

Simplifying
w + 1.166666667 = -6.722681343

Reorder the terms:
1.166666667 + w = -6.722681343

Solving
1.166666667 + w = -6.722681343

Solving for variable 'w'.

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

Add '-1.166666667' to each side of the equation.
1.166666667 + -1.166666667 + w = -6.722681343 + -1.166666667

Combine like terms: 1.166666667 + -1.166666667 = 0.000000000
0.000000000 + w = -6.722681343 + -1.166666667
w = -6.722681343 + -1.166666667

Combine like terms: -6.722681343 + -1.166666667 = -7.88934801
w = -7.88934801

Simplifying
w = -7.88934801


Solution
The solution to the problem is based on the solutions
from the subproblems.
w = {5.556014676, -7.88934801}
Solution
w = {5.556014676, -7.88934801}

See similar equations:

| 6x=-12-9x | | -25=x^2+1 | | (5-8i)+(2+2i)= | | 526=2(3(64)+7)2w | | X-4+3x=180 | | 6y-3=90 | | -2+4p=-5(1+3p)+3 | | 3(9n+11)=2(12n+12) | | 5(-4-2y)-4y=-32 | | -27+8x=5x+42 | | 4(5x+1)=3(x-32) | | x-0.40x=3 | | -94=-7x-4(4x-11) | | 3n-8(1-7n)=-8+6n | | 2(12x-9)=11(10+9x)-11x | | 10x+2=90 | | y^2-2y+30=8x+8 | | ln(12-13x)-2ln(x)=ln(4) | | 4(5r+8)=-8r-24 | | 2x-0.8x=1 | | -3a-2a+3b-5b= | | X+4+3x=180 | | 0.666667(6x+3)=4x+2 | | x^2-10x+24x=0 | | 4x+(7x+3)+(7x+6)= | | x+12=3-4x | | 396p^2-539q^2= | | 8n^2=10 | | -8(8-5x)+4=7x+39 | | 2x+1=95 | | z^2-12z+5=0 | | a^2+8=6a |

Equations solver categories