(2w+7)(w-4)=0

Simple and best practice solution for (2w+7)(w-4)=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 (2w+7)(w-4)=0 equation: 


Simplifying
(2w + 7)(w + -4) = 0

Reorder the terms:
(7 + 2w)(w + -4) = 0

Reorder the terms:
(7 + 2w)(-4 + w) = 0

Multiply (7 + 2w) * (-4 + w)
(7(-4 + w) + 2w * (-4 + w)) = 0
((-4 * 7 + w * 7) + 2w * (-4 + w)) = 0
((-28 + 7w) + 2w * (-4 + w)) = 0
(-28 + 7w + (-4 * 2w + w * 2w)) = 0
(-28 + 7w + (-8w + 2w2)) = 0

Combine like terms: 7w + -8w = -1w
(-28 + -1w + 2w2) = 0

Solving
-28 + -1w + 2w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-7 + -2w)(4 + -1w) = 0


Subproblem 1
Set the factor '(-7 + -2w)' equal to zero and attempt to solve:

Simplifying
-7 + -2w = 0

Solving
-7 + -2w = 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 + -2w = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2w = 0 + 7
-2w = 0 + 7

Combine like terms: 0 + 7 = 7
-2w = 7

Divide each side by '-2'.
w = -3.5

Simplifying
w = -3.5

Subproblem 2
Set the factor '(4 + -1w)' equal to zero and attempt to solve:

Simplifying
4 + -1w = 0

Solving
4 + -1w = 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 + -1w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1w = 0 + -4
-1w = 0 + -4

Combine like terms: 0 + -4 = -4
-1w = -4

Divide each side by '-1'.
w = 4

Simplifying
w = 4
Solution
w = {-3.5, 4}

See similar equations:

| (x)2+7x-3=0 | | 6.5=-x+1 | | Y=1.50x+7.00 | | X^2-45=5x | | -75=5w+3w-18 | | 5k=1/3 | | 1/3×t-9=3 | | 77x+45=88-x | | 42x-1=3x+38 | | 3(3-y)+1=34 | | (2w+7)(w-5)=0 | | 1.5x+20=4x | | 6(1)-3y=9 | | 5x-4=8/(x-2) | | 15x=16x-30 | | 0x+7=7 | | 3z^2=-39 | | 4D^4-8D^3-7D^2+11D+6=0 | | 1/3-1/12=1/x | | f+3.25=-12.25 | | X-45=5x | | (2w+9)(w-3)=0 | | 25x+35=40y | | 5f+22=2f | | -2(x+4)=-2 | | 4D^5-23D^3-33D^2-17D-3=0 | | 8x-22+2x=5x-13 | | 3n^2+9n+3=0 | | (81x7/25y)^1/4 | | x^2-6x=325 | | 6/n=30/24 | | 0=11-3pix |

Equations solver categories