(w+10)(2w+5)=378

Simple and best practice solution for (w+10)(2w+5)=378 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+10)(2w+5)=378 equation: 


Simplifying
(w + 10)(2w + 5) = 378

Reorder the terms:
(10 + w)(2w + 5) = 378

Reorder the terms:
(10 + w)(5 + 2w) = 378

Multiply (10 + w) * (5 + 2w)
(10(5 + 2w) + w(5 + 2w)) = 378
((5 * 10 + 2w * 10) + w(5 + 2w)) = 378
((50 + 20w) + w(5 + 2w)) = 378
(50 + 20w + (5 * w + 2w * w)) = 378
(50 + 20w + (5w + 2w2)) = 378

Combine like terms: 20w + 5w = 25w
(50 + 25w + 2w2) = 378

Solving
50 + 25w + 2w2 = 378

Solving for variable 'w'.

Reorder the terms:
50 + -378 + 25w + 2w2 = 378 + -378

Combine like terms: 50 + -378 = -328
-328 + 25w + 2w2 = 378 + -378

Combine like terms: 378 + -378 = 0
-328 + 25w + 2w2 = 0

Factor a trinomial.
(-41 + -2w)(8 + -1w) = 0


Subproblem 1
Set the factor '(-41 + -2w)' equal to zero and attempt to solve:

Simplifying
-41 + -2w = 0

Solving
-41 + -2w = 0

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

Add '41' to each side of the equation.
-41 + 41 + -2w = 0 + 41

Combine like terms: -41 + 41 = 0
0 + -2w = 0 + 41
-2w = 0 + 41

Combine like terms: 0 + 41 = 41
-2w = 41

Divide each side by '-2'.
w = -20.5

Simplifying
w = -20.5

Subproblem 2
Set the factor '(8 + -1w)' equal to zero and attempt to solve:

Simplifying
8 + -1w = 0

Solving
8 + -1w = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1w = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1w = 0 + -8
-1w = 0 + -8

Combine like terms: 0 + -8 = -8
-1w = -8

Divide each side by '-1'.
w = 8

Simplifying
w = 8
Solution
w = {-20.5, 8}

See similar equations:

| 6x+9x-12=0 | | 2[3x-7(x-2)]=1 | | (w+10)(2w-2)=154 | | 2w^2+18w-174=0 | | 24=6+c | | 4(5x1/20) | | Y=6x^2-11x+3 | | 9x-12=132 | | t(dx/dt)-4t^5=x | | -x-6y=2 | | 0.08x^2+2x=6 | | 5x+4=4x-14 | | 6xsquared+18s=0 | | 3(x-4)-8=-5(x-2) | | X*.14=20.9 | | 8-(5x+4)=7x+4 | | 5+4f=5 | | X*.463=297 | | X*.875=21 | | C÷3/7=10 | | 22/12-0.375 | | Y=X^2-2*x | | X*.47=4089 | | 0.00005/0.5=0.5/0.5 | | a*3n= | | s^2+8s-12=0 | | (x/x-3) | | 9y-8y=0 | | 28*(7/12) | | s^2+8s=12 | | y^2-29y+64=0 | | y^2-13y+64=0 |

Equations solver categories