(9w+5)(4w-12)=0

Simple and best practice solution for (9w+5)(4w-12)=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 (9w+5)(4w-12)=0 equation: 


Simplifying
(9w + 5)(4w + -12) = 0

Reorder the terms:
(5 + 9w)(4w + -12) = 0

Reorder the terms:
(5 + 9w)(-12 + 4w) = 0

Multiply (5 + 9w) * (-12 + 4w)
(5(-12 + 4w) + 9w * (-12 + 4w)) = 0
((-12 * 5 + 4w * 5) + 9w * (-12 + 4w)) = 0
((-60 + 20w) + 9w * (-12 + 4w)) = 0
(-60 + 20w + (-12 * 9w + 4w * 9w)) = 0
(-60 + 20w + (-108w + 36w2)) = 0

Combine like terms: 20w + -108w = -88w
(-60 + -88w + 36w2) = 0

Solving
-60 + -88w + 36w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-15 + -22w + 9w2) = 0

Factor a trinomial.
4((-5 + -9w)(3 + -1w)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-5 + -9w)' equal to zero and attempt to solve:

Simplifying
-5 + -9w = 0

Solving
-5 + -9w = 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 + -9w = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -9w = 0 + 5
-9w = 0 + 5

Combine like terms: 0 + 5 = 5
-9w = 5

Divide each side by '-9'.
w = -0.5555555556

Simplifying
w = -0.5555555556

Subproblem 2
Set the factor '(3 + -1w)' equal to zero and attempt to solve:

Simplifying
3 + -1w = 0

Solving
3 + -1w = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1w = 0 + -3
-1w = 0 + -3

Combine like terms: 0 + -3 = -3
-1w = -3

Divide each side by '-1'.
w = 3

Simplifying
w = 3
Solution
w = {-0.5555555556, 3}

See similar equations:

| 0.4p+2=0.2p+11 | | -4w-4=8 | | 3x-2=8x-32 | | y=-x+3 | | -7=3x-6 | | -2x=17 | | 123=21312 | | -6x+10=8 | | 10+2x=7x+3 | | 3c-4c+1=5c+2+3 | | -11+x=13-x | | 3750=250+20x | | -(5y+5)-(-4y-8)=-1 | | m*-2=8 | | -2*m=8 | | 2.4+10m=6.89 | | -9+x=-11x | | 3(2x-11)=33 | | .02(14000)+.14x=.18(14000+x) | | 4y+6=34 | | x+x+x-5=20 | | 2(x-8)+7=5(x+2)-3x-19 | | .02(50)+.08x=.04(50+x) | | .09x+.13(x+300)=61 | | 3x+52=8x+12 | | 8x+5=2x+47 | | -13=x+11 | | j+2=-10 | | .05x+.012(x+5000)=940 | | y=x+5 | | 9.4=-d+5.6 | | 2x+9y= |

Equations solver categories