10w^2+40w+14w+56=0

Simple and best practice solution for 10w^2+40w+14w+56=0 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 10w^2+40w+14w+56=0 equation: 


Simplifying
10w2 + 40w + 14w + 56 = 0

Reorder the terms:
56 + 40w + 14w + 10w2 = 0

Combine like terms: 40w + 14w = 54w
56 + 54w + 10w2 = 0

Solving
56 + 54w + 10w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(28 + 27w + 5w2) = 0

Factor a trinomial.
2((4 + w)(7 + 5w)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + w)' equal to zero and attempt to solve:

Simplifying
4 + w = 0

Solving
4 + w = 0

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

Add '-4' to each side of the equation.
4 + -4 + w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + w = 0 + -4
w = 0 + -4

Combine like terms: 0 + -4 = -4
w = -4

Simplifying
w = -4

Subproblem 2
Set the factor '(7 + 5w)' equal to zero and attempt to solve:

Simplifying
7 + 5w = 0

Solving
7 + 5w = 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 + 5w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5w = 0 + -7
5w = 0 + -7

Combine like terms: 0 + -7 = -7
5w = -7

Divide each side by '5'.
w = -1.4

Simplifying
w = -1.4
Solution
w = {-4, -1.4}

See similar equations:

| y=3-1 | | y=3--0 | | -24/r=4 | | y=3--1 | | -27x^6+8m^3=0 | | y=3--4 | | y=3--5 | | 110=(r/2)(5t) | | y=3--6 | | y=1-6(3) | | y=1-5(3) | | 2z^2+3z+3=0 | | y=1-4(3) | | y=1-3(3) | | y=1-2(3) | | 4y+4y=7y+5 | | y=1-1(3) | | y=1-0(3) | | 110=(r/2)(t*5) | | f(x)x^2-x-1= | | y=1--1(3) | | .06x+.04(x-4000)=840 | | y=1--3(3) | | 7x+5x+8x= | | 837=27p | | y=1--5(3) | | y=1--6(3) | | (X-3)/2=14 | | y=1--2(3) | | h-67=34 | | y=1--4(3) | | y/4=9 |

Equations solver categories