(5+2w)(12+2w)-5(12)=168

Simple and best practice solution for (5+2w)(12+2w)-5(12)=168 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 (5+2w)(12+2w)-5(12)=168 equation: 


Simplifying
(5 + 2w)(12 + 2w) + -5(12) = 168

Multiply (5 + 2w) * (12 + 2w)
(5(12 + 2w) + 2w * (12 + 2w)) + -5(12) = 168
((12 * 5 + 2w * 5) + 2w * (12 + 2w)) + -5(12) = 168
((60 + 10w) + 2w * (12 + 2w)) + -5(12) = 168
(60 + 10w + (12 * 2w + 2w * 2w)) + -5(12) = 168
(60 + 10w + (24w + 4w2)) + -5(12) = 168

Combine like terms: 10w + 24w = 34w
(60 + 34w + 4w2) + -5(12) = 168

Multiply -5 * 12
60 + 34w + 4w2 + -60 = 168

Reorder the terms:
60 + -60 + 34w + 4w2 = 168

Combine like terms: 60 + -60 = 0
0 + 34w + 4w2 = 168
34w + 4w2 = 168

Solving
34w + 4w2 = 168

Solving for variable 'w'.

Reorder the terms:
-168 + 34w + 4w2 = 168 + -168

Combine like terms: 168 + -168 = 0
-168 + 34w + 4w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-84 + 17w + 2w2) = 0

Factor a trinomial.
2((-12 + -1w)(7 + -2w)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-12 + -1w)' equal to zero and attempt to solve:

Simplifying
-12 + -1w = 0

Solving
-12 + -1w = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1w = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1w = 0 + 12
-1w = 0 + 12

Combine like terms: 0 + 12 = 12
-1w = 12

Divide each side by '-1'.
w = -12

Simplifying
w = -12

Subproblem 2
Set the factor '(7 + -2w)' equal to zero and attempt to solve:

Simplifying
7 + -2w = 0

Solving
7 + -2w = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2w = 0 + -7
-2w = 0 + -7

Combine like terms: 0 + -7 = -7
-2w = -7

Divide each side by '-2'.
w = 3.5

Simplifying
w = 3.5
Solution
w = {-12, 3.5}

See similar equations:

| 80*400*23= | | -61x=-183 | | 13440=x^400 | | 9x+4=49-(18-5) | | x-(x+4)*(x-2)=8+(x-5) | | 2x+8-4(x+1)=6x+7 | | 9x=49-(18-5) | | 0=-183+61x | | x^3-8=x-2 | | -16t^2+4=4 | | 2/3(15x-9)=74 | | 6.1x-3.3-7x=-.9x-3.3 | | -2a+4+3a=7-25 | | 2x+6y=1600 | | 10x=2-2y | | -.667x-7=.333x | | 3c^2-8=19 | | 5x(4-2)=7+3 | | 3x^2+15x-9.3=0 | | 3x-5+4=6 | | 42-6y=y | | 2x^4-164=2 | | 3c^2-8-19=0 | | sqrt(7x^2+15x)-2x=5+x | | 5x^4-x^2-1=0 | | 41=29-3(x-2) | | 3019.7506=b*29.6 | | 2y+6-3=2 | | 40320=3*x^400 | | 8(2-c)-12=3c | | -1=3-Y-y | | 14x-(6x-9)=17 |

Equations solver categories