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

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Solution for (3w-4)(4w-6)= 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}

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