18a^2-33aw+14w^2=

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Solution for 18a^2-33aw+14w^2= equation:


Simplifying
18a2 + -33aw + 14w2 = 0

Reorder the terms:
-33aw + 18a2 + 14w2 = 0

Solving
-33aw + 18a2 + 14w2 = 0

Solving for variable 'a'.

Factor a trinomial.
(6a + -7w)(3a + -2w) = 0

Subproblem 1

Set the factor '(6a + -7w)' equal to zero and attempt to solve: Simplifying 6a + -7w = 0 Solving 6a + -7w = 0 Move all terms containing a to the left, all other terms to the right. Add '7w' to each side of the equation. 6a + -7w + 7w = 0 + 7w Combine like terms: -7w + 7w = 0 6a + 0 = 0 + 7w 6a = 0 + 7w Remove the zero: 6a = 7w Divide each side by '6'. a = 1.166666667w Simplifying a = 1.166666667w

Subproblem 2

Set the factor '(3a + -2w)' equal to zero and attempt to solve: Simplifying 3a + -2w = 0 Solving 3a + -2w = 0 Move all terms containing a to the left, all other terms to the right. Add '2w' to each side of the equation. 3a + -2w + 2w = 0 + 2w Combine like terms: -2w + 2w = 0 3a + 0 = 0 + 2w 3a = 0 + 2w Remove the zero: 3a = 2w Divide each side by '3'. a = 0.6666666667w Simplifying a = 0.6666666667w

Solution

a = {1.166666667w, 0.6666666667w}

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