(5w-2)(6w-4)=

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Solution for (5w-2)(6w-4)= equation: 


Simplifying
(5w + -2)(6w + -4) = 0

Reorder the terms:
(-2 + 5w)(6w + -4) = 0

Reorder the terms:
(-2 + 5w)(-4 + 6w) = 0

Multiply (-2 + 5w) * (-4 + 6w)
(-2(-4 + 6w) + 5w * (-4 + 6w)) = 0
((-4 * -2 + 6w * -2) + 5w * (-4 + 6w)) = 0
((8 + -12w) + 5w * (-4 + 6w)) = 0
(8 + -12w + (-4 * 5w + 6w * 5w)) = 0
(8 + -12w + (-20w + 30w2)) = 0

Combine like terms: -12w + -20w = -32w
(8 + -32w + 30w2) = 0

Solving
8 + -32w + 30w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -16w + 15w2) = 0

Factor a trinomial.
2((2 + -5w)(2 + -3w)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + -5w)' equal to zero and attempt to solve:

Simplifying
2 + -5w = 0

Solving
2 + -5w = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5w = 0 + -2
-5w = 0 + -2

Combine like terms: 0 + -2 = -2
-5w = -2

Divide each side by '-5'.
w = 0.4

Simplifying
w = 0.4

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

Simplifying
2 + -3w = 0

Solving
2 + -3w = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3w = 0 + -2
-3w = 0 + -2

Combine like terms: 0 + -2 = -2
-3w = -2

Divide each side by '-3'.
w = 0.6666666667

Simplifying
w = 0.6666666667
Solution
w = {0.4, 0.6666666667}

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