(5w-8)(7-w)=0

Simple and best practice solution for (5w-8)(7-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-8)(7-w)=0 equation: 


Simplifying
(5w + -8)(7 + -1w) = 0

Reorder the terms:
(-8 + 5w)(7 + -1w) = 0

Multiply (-8 + 5w) * (7 + -1w)
(-8(7 + -1w) + 5w * (7 + -1w)) = 0
((7 * -8 + -1w * -8) + 5w * (7 + -1w)) = 0
((-56 + 8w) + 5w * (7 + -1w)) = 0
(-56 + 8w + (7 * 5w + -1w * 5w)) = 0
(-56 + 8w + (35w + -5w2)) = 0

Combine like terms: 8w + 35w = 43w
(-56 + 43w + -5w2) = 0

Solving
-56 + 43w + -5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-7 + w)(8 + -5w) = 0


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

Simplifying
-7 + w = 0

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

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

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

Simplifying
w = 7

Subproblem 2
Set the factor '(8 + -5w)' equal to zero and attempt to solve:

Simplifying
8 + -5w = 0

Solving
8 + -5w = 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 + -5w = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5w = 0 + -8
-5w = 0 + -8

Combine like terms: 0 + -8 = -8
-5w = -8

Divide each side by '-5'.
w = 1.6

Simplifying
w = 1.6
Solution
w = {7, 1.6}

See similar equations:

| 5x^2-15=20 | | 6x+8=-27-9x | | 4x^2+11x-15=0 | | x^2+(x^2-14x+49)=25 | | 0=x(x-2)-(x+6) | | (x-2)(x-4)(x-5)=0 | | -8x+5x+20-10= | | 2b-6-7b-5= | | 12m^2-5m+11=0 | | (X^2+2)(x+2)= | | 3x=19-5y | | 3x=19-5 | | n^2+3=-3n | | 5*(3xy+4+2)= | | (x-0)(x-1)(x-2)= | | 2n*0.85=42.5 | | -11=y^2-13y+24 | | (4x-0)(4x-4)=0 | | 9x+10=110 | | x^3=0.6 | | 4(x+3)=x+12 | | 4x+28=128 | | 7a-80=100 | | 7x+3=x^2-9 | | (3x+5)(2y+3)= | | 8-3x=15-x | | -4+3x=-16+12x | | 9n+81=162 | | 15-(4m-5)=33 | | -5y-3=2y-3 | | 10x-9y=11 | | -9x+9y=-18 |

Equations solver categories