(5w-2)(9-w)=0

Simple and best practice solution for (5w-2)(9-w)=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-2)(9-w)=0 equation: 


Simplifying
(5w + -2)(9 + -1w) = 0

Reorder the terms:
(-2 + 5w)(9 + -1w) = 0

Multiply (-2 + 5w) * (9 + -1w)
(-2(9 + -1w) + 5w * (9 + -1w)) = 0
((9 * -2 + -1w * -2) + 5w * (9 + -1w)) = 0
((-18 + 2w) + 5w * (9 + -1w)) = 0
(-18 + 2w + (9 * 5w + -1w * 5w)) = 0
(-18 + 2w + (45w + -5w2)) = 0

Combine like terms: 2w + 45w = 47w
(-18 + 47w + -5w2) = 0

Solving
-18 + 47w + -5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-9 + w)(2 + -5w) = 0


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

Simplifying
-9 + w = 0

Solving
-9 + w = 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 + w = 0 + 9

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

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

Simplifying
w = 9

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

Simplifying
2 + -5w = 0

Solving
2 + -5w = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5w = 0 + -2
-5w = 0 + -2

Combine like terms: 0 + -2 = -2
-5w = -2

Divide each side by '-5'.
w = 0.4

Simplifying
w = 0.4
Solution
w = {9, 0.4}

See similar equations:

| [-8r-2]+[4r-3]= | | n+16.6=1.6 | | v=10+5x-1 | | 5y^2+14y-24= | | 9=-3(21-z)+2(z-4) | | 159=2-u | | 5x+857(t+7)=h+6 | | 217-w=114 | | 15p^6-5p-10p^2= | | 197=148-y | | 3(5g-2)+2=26 | | 218-y=172 | | 5x-4=10x-20 | | 172=-v+50 | | 8=-u+156 | | 4x(2x+3)=o | | 21p^2-165qr-24q^2r= | | 13y+x=30 | | 4x^4+12x^3= | | -64-32t=-24 | | 23=8-5y | | -4(4.16)+18= | | 12y+x=48 | | 8(x-3)-5(3x-4)=10 | | 4-9w=-32 | | 1089+998= | | 0.4+0.8= | | -14+6=-4(x+9) | | 2/3=x-1/3 | | 0.8c+0.4= | | 6(6x+8f-5)= | | (3x-8)(2x+9)= |

Equations solver categories