(3w-4)(7+w)=0

Simple and best practice solution for (3w-4)(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 (3w-4)(7+w)=0 equation: 


Simplifying
(3w + -4)(7 + w) = 0

Reorder the terms:
(-4 + 3w)(7 + w) = 0

Multiply (-4 + 3w) * (7 + w)
(-4(7 + w) + 3w * (7 + w)) = 0
((7 * -4 + w * -4) + 3w * (7 + w)) = 0
((-28 + -4w) + 3w * (7 + w)) = 0
(-28 + -4w + (7 * 3w + w * 3w)) = 0
(-28 + -4w + (21w + 3w2)) = 0

Combine like terms: -4w + 21w = 17w
(-28 + 17w + 3w2) = 0

Solving
-28 + 17w + 3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-7 + -1w)(4 + -3w) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(4 + -3w)' equal to zero and attempt to solve:

Simplifying
4 + -3w = 0

Solving
4 + -3w = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3w = 0 + -4
-3w = 0 + -4

Combine like terms: 0 + -4 = -4
-3w = -4

Divide each side by '-3'.
w = 1.333333333

Simplifying
w = 1.333333333
Solution
w = {-7, 1.333333333}

See similar equations:

| 6y+15=39 | | 5n=3n+14 | | 8x+13y=-74 | | 6x-(2x+1)=1 | | 3x+13=8x+48 | | (x+5)-2(4-3x)=2(x+3)-4 | | 7c-63=22c-72 | | 1100-x=550 | | x*2+y*2=49 | | 2x^2+24x+50=0 | | (z+9)(3z+4)=0 | | 2b+7=4b+2 | | 15+4x=6+7x | | -2(-b-4)=-(b-8) | | 8.7x+4.42=-11.3x+3.18 | | 6+4w=13+3w | | -8(x+7)+5=-51 | | 4r+6=13+2r | | x*2+4*x+y*2-21=0 | | ln(4x^6+2x^3)=y | | 180=120x | | -2(b-4)=-(b-8) | | x^2+1-11=0 | | 4xn+2=10+2n | | 20w^2+10w+40=0 | | 16x^2-96x+4y^2+8y=-84 | | 96j+245=53 | | log(2)18=x | | 12x+9-5x^2=0 | | -8x+9x=-2 | | 5n+1=2n+3 | | 6.7x-3.4=16.7 |

Equations solver categories