(5+w)(3w-7)=0

Simple and best practice solution for (5+w)(3w-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 (5+w)(3w-7)=0 equation: 


Simplifying
(5 + w)(3w + -7) = 0

Reorder the terms:
(5 + w)(-7 + 3w) = 0

Multiply (5 + w) * (-7 + 3w)
(5(-7 + 3w) + w(-7 + 3w)) = 0
((-7 * 5 + 3w * 5) + w(-7 + 3w)) = 0
((-35 + 15w) + w(-7 + 3w)) = 0
(-35 + 15w + (-7 * w + 3w * w)) = 0
(-35 + 15w + (-7w + 3w2)) = 0

Combine like terms: 15w + -7w = 8w
(-35 + 8w + 3w2) = 0

Solving
-35 + 8w + 3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-5 + -1w)(7 + -3w) = 0


Subproblem 1
Set the factor '(-5 + -1w)' equal to zero and attempt to solve:

Simplifying
-5 + -1w = 0

Solving
-5 + -1w = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1w = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1w = 0 + 5
-1w = 0 + 5

Combine like terms: 0 + 5 = 5
-1w = 5

Divide each side by '-1'.
w = -5

Simplifying
w = -5

Subproblem 2
Set the factor '(7 + -3w)' equal to zero and attempt to solve:

Simplifying
7 + -3w = 0

Solving
7 + -3w = 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 + -3w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3w = 0 + -7
-3w = 0 + -7

Combine like terms: 0 + -7 = -7
-3w = -7

Divide each side by '-3'.
w = 2.333333333

Simplifying
w = 2.333333333
Solution
w = {-5, 2.333333333}

See similar equations:

| 9c-8-4=23 | | 6x+8=3x+8 | | 3(r+2)=9 | | -x+6+7x=-48 | | F(0)=3x+7 | | -28=-4a-3a | | 1/3y-18=2 | | x+18=7a | | x^2+1.67x-19.02=0 | | -9x+3-x=27 | | -2x^2+3x-11=0 | | -123=3(6x+7) | | w+5=-25 | | 5n(4n+3)=0 | | 18=2(n-7) | | F(-9)=3x+7 | | -5x-4+7x=8 | | x^2-16x+37=-2x+4 | | 2(2x+0.3)+2(5x+1.3)=2(4x-0.1) | | -2x^2+3x-2=9 | | r-2-4r=-38 | | 3x+2(-2.5x-2)=0 | | -48+28y+4=6(5y-4)-6 | | -3x+5+8x=35 | | x^2+7x+20=8 | | X^3-4x^2+x+4=0 | | 38+x=100 | | 0.83x-.5=4 | | N+90=120 | | z^8-22z^4=75 | | 2a-7-(5+6a)= | | (2m+3n)(4m+6n)=0 |

Equations solver categories