-4(w-7)(-w+5)=0

Simple and best practice solution for -4(w-7)(-w+5)=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 -4(w-7)(-w+5)=0 equation: 


Simplifying
-4(w + -7)(-1w + 5) = 0

Reorder the terms:
-4(-7 + w)(-1w + 5) = 0

Reorder the terms:
-4(-7 + w)(5 + -1w) = 0

Multiply (-7 + w) * (5 + -1w)
-4(-7(5 + -1w) + w(5 + -1w)) = 0
-4((5 * -7 + -1w * -7) + w(5 + -1w)) = 0
-4((-35 + 7w) + w(5 + -1w)) = 0
-4(-35 + 7w + (5 * w + -1w * w)) = 0
-4(-35 + 7w + (5w + -1w2)) = 0

Combine like terms: 7w + 5w = 12w
-4(-35 + 12w + -1w2) = 0
(-35 * -4 + 12w * -4 + -1w2 * -4) = 0
(140 + -48w + 4w2) = 0

Solving
140 + -48w + 4w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '4'.
4(35 + -12w + w2) = 0

Factor a trinomial.
4((5 + -1w)(7 + -1w)) = 0

Ignore the factor 4.

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 + -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
Solution
w = {5, 7}

See similar equations:

| -5-2x+5=2 | | y-3/3 | | 7x-60= | | X*14=y*18 | | (2x-2)(8x-8)= | | 0=x-ln(x) | | 15m^-6n^8/20m^-4n^-4 | | 2+10x=2(5x+2) | | (2x+25)= | | -10x+3y=1 | | 2x+5=13+2x | | 7.9x-2.8=5.1 | | m+2.8=6.4 | | (15m^-6n^8)/(20m^-4n^-4) | | (3x+5)+(x+15)= | | 1/3×7×5 | | -y+8=48 | | 0.2c=12 | | .35*x=1871.10 | | (4n-7)(4n+8)= | | 174=74+55t | | F(x)=-6x^3+11 | | -4=y+8 | | (4a-5)(6a-6)= | | (6a+2)(3a+7)= | | 5x+24=3x+30 | | -(y+1)+2(5+y)=29 | | 6X-3(3X-4)=5(8-3x)-4 | | -6h=-42 | | -4p-4+5p=-8 | | (3a-2)(8a-6)= | | -4(t-5)-(t+9)=5 |

Equations solver categories