(4w-7)(9-w)=0

Simple and best practice solution for (4w-7)(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 (4w-7)(9-w)=0 equation: 


Simplifying
(4w + -7)(9 + -1w) = 0

Reorder the terms:
(-7 + 4w)(9 + -1w) = 0

Multiply (-7 + 4w) * (9 + -1w)
(-7(9 + -1w) + 4w * (9 + -1w)) = 0
((9 * -7 + -1w * -7) + 4w * (9 + -1w)) = 0
((-63 + 7w) + 4w * (9 + -1w)) = 0
(-63 + 7w + (9 * 4w + -1w * 4w)) = 0
(-63 + 7w + (36w + -4w2)) = 0

Combine like terms: 7w + 36w = 43w
(-63 + 43w + -4w2) = 0

Solving
-63 + 43w + -4w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-9 + w)(7 + -4w) = 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 '(7 + -4w)' equal to zero and attempt to solve:

Simplifying
7 + -4w = 0

Solving
7 + -4w = 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 + -4w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4w = 0 + -7
-4w = 0 + -7

Combine like terms: 0 + -7 = -7
-4w = -7

Divide each side by '-4'.
w = 1.75

Simplifying
w = 1.75
Solution
w = {9, 1.75}

See similar equations:

| 11x=11(17) | | ab=a^2-11 | | 9/8x8/9r | | 3.8m-6-3.8m-7= | | 2/3(3c-6) | | K-9=5(k-3) | | 3(2x-3)-9x-4=2x+21 | | (y^2-3)(8y^2-4y+3)= | | 4.33333b+b= | | 3b-2=3b-2 | | 5m-18=-22+m | | 7x-42=16 | | 7x^2-15x+10=0 | | 5x^2+10=70 | | 9(z+2)-3(z-25)=3(z-1)+2(z-3) | | 3*(ln(6x))=15 | | -6x-20=-110 | | 4v^2-5v=6 | | -6x-20=-120 | | 5t+1+2t-6t=6+2 | | 3a-5=90 | | (5z-4)(6+z)=0 | | 2=1/4(5x-16) | | 322/4 | | .9a+1.4a= | | 3=3/2(7x-6) | | 4x+13x=120 | | c-23c= | | 9/2=54/x | | (9t+7)(2t-6)= | | 5/9=45/n | | 8y^3+24y^2+18y= |

Equations solver categories