(3w-4)(4w-6)=0

Simple and best practice solution for (3w-4)(4w-6)=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)(4w-6)=0 equation:


Simplifying
(3w + -4)(4w + -6) = 0

Reorder the terms:
(-4 + 3w)(4w + -6) = 0

Reorder the terms:
(-4 + 3w)(-6 + 4w) = 0

Multiply (-4 + 3w) * (-6 + 4w)
(-4(-6 + 4w) + 3w * (-6 + 4w)) = 0
((-6 * -4 + 4w * -4) + 3w * (-6 + 4w)) = 0
((24 + -16w) + 3w * (-6 + 4w)) = 0
(24 + -16w + (-6 * 3w + 4w * 3w)) = 0
(24 + -16w + (-18w + 12w2)) = 0

Combine like terms: -16w + -18w = -34w
(24 + -34w + 12w2) = 0

Solving
24 + -34w + 12w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -17w + 6w2) = 0

Factor a trinomial.
2((4 + -3w)(3 + -2w)) = 0

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

Set the factor '(3 + -2w)' equal to zero and attempt to solve: Simplifying 3 + -2w = 0 Solving 3 + -2w = 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 + -2w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2w = 0 + -3 -2w = 0 + -3 Combine like terms: 0 + -3 = -3 -2w = -3 Divide each side by '-2'. w = 1.5 Simplifying w = 1.5

Solution

w = {1.333333333, 1.5}

See similar equations:

| 6v^2+13v-5=0 | | 47=4x+3 | | 6v^2+13-5=0 | | k/8.4=6.8/11.2 | | (x+6)+15=180 | | 3x-9=2x+31 | | 3/4x+8=24 | | 14x+87=1 | | 2/3m=-96 | | 12m+6n-5m+10n= | | 6x+23=13+-54 | | 13x^4=x^2 | | 27-7w=21+w | | 3/4x | | 0.5b+4=0.4b+88 | | -5s+7=4s+12 | | -2+4-1=4+x-1 | | -s(5-4)=-3s+18 | | x^4-4x^3+8x^2-16x+6=0 | | 7(7-5z)+17=3 | | (3x-10)+x=90 | | 2.4x+3=23 | | 0=4x^2-3x-2 | | 12x=11y-28 | | (3x^2+x+12)+(18x^2-63x+4)=0 | | (2-9c)(-8)=-16+72c | | h*b=6x^2-5x-6 | | 71-4x=23x+20 | | 2y+x=-15+2y | | 13x+11=3x+231 | | 3(2x+1)=6x-5 | | 2h^2-9h-5=0 |

Equations solver categories