5w(w+9)(w-7)=0

Simple and best practice solution for 5w(w+9)(w-7)=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 5w(w+9)(w-7)=0 equation: 


Simplifying
5w(w + 9)(w + -7) = 0

Reorder the terms:
5w(9 + w)(w + -7) = 0

Reorder the terms:
5w(9 + w)(-7 + w) = 0

Multiply (9 + w) * (-7 + w)
5w(9(-7 + w) + w(-7 + w)) = 0
5w((-7 * 9 + w * 9) + w(-7 + w)) = 0
5w((-63 + 9w) + w(-7 + w)) = 0
5w(-63 + 9w + (-7 * w + w * w)) = 0
5w(-63 + 9w + (-7w + w2)) = 0

Combine like terms: 9w + -7w = 2w
5w(-63 + 2w + w2) = 0
(-63 * 5w + 2w * 5w + w2 * 5w) = 0
(-315w + 10w2 + 5w3) = 0

Solving
-315w + 10w2 + 5w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5w'.
5w(-63 + 2w + w2) = 0

Factor a trinomial.
5w((-9 + -1w)(7 + -1w)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0

Subproblem 2
Set the factor '(-9 + -1w)' equal to zero and attempt to solve:

Simplifying
-9 + -1w = 0

Solving
-9 + -1w = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1w = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1w = 0 + 9
-1w = 0 + 9

Combine like terms: 0 + 9 = 9
-1w = 9

Divide each side by '-1'.
w = -9

Simplifying
w = -9

Subproblem 3
Set the factor '(7 + -1w)' equal to zero and attempt to solve:

Simplifying
7 + -1w = 0

Solving
7 + -1w = 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 + -1w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1w = 0 + -7
-1w = 0 + -7

Combine like terms: 0 + -7 = -7
-1w = -7

Divide each side by '-1'.
w = 7

Simplifying
w = 7
Solution
w = {0, -9, 7}

See similar equations:

| 3.6=(5-x)+(3.6-x)+(2.8-x) | | 2(x+4)+(x-10)=8 | | 1/5x-7=y | | (-14)=2-6 | | (4y-6)(3-y)=0 | | -8k-2=-14-4k | | 2x+2xy+y=14 | | 9a+7=-47 | | x+15.09=-2.57 | | 14=(10-x)+(7-x) | | 5(u+6)(-u+9)=0 | | 5y-3=3-4+2+9y-6 | | -3x-7y=0 | | 8p^2-24p+13=0 | | x+8=-47 | | 7-(2x-1)=3(2x-1)+2 | | x-4/10=3/2 | | 3.6=(5-x)+(3.6-x) | | 13.7-8r=2.9 | | x^3+3x^2-25=0 | | 2.4p+4.5=3.6p-1.9+0.4 | | g(x)=f(4x)+3 | | 14/z=2 | | 4(2x+1)=10x-3 | | 3x^3-5x=50 | | (x-3/2)^2-1/4 | | (x-3/2)^2-1/4=(x-2)(x-1) | | 2s(56+11)=19 | | R=200x-.5x^2 | | 2=4x-1 | | 3/6x | | .4-3x=6x-6 |

Equations solver categories