(4w-15)(w-2)=2

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Solution for (4w-15)(w-2)=2 equation: 


Simplifying
(4w + -15)(w + -2) = 2

Reorder the terms:
(-15 + 4w)(w + -2) = 2

Reorder the terms:
(-15 + 4w)(-2 + w) = 2

Multiply (-15 + 4w) * (-2 + w)
(-15(-2 + w) + 4w * (-2 + w)) = 2
((-2 * -15 + w * -15) + 4w * (-2 + w)) = 2
((30 + -15w) + 4w * (-2 + w)) = 2
(30 + -15w + (-2 * 4w + w * 4w)) = 2
(30 + -15w + (-8w + 4w2)) = 2

Combine like terms: -15w + -8w = -23w
(30 + -23w + 4w2) = 2

Solving
30 + -23w + 4w2 = 2

Solving for variable 'w'.

Reorder the terms:
30 + -2 + -23w + 4w2 = 2 + -2

Combine like terms: 30 + -2 = 28
28 + -23w + 4w2 = 2 + -2

Combine like terms: 2 + -2 = 0
28 + -23w + 4w2 = 0

Factor a trinomial.
(7 + -4w)(4 + -1w) = 0


Subproblem 1
Set the factor '(7 + -4w)' equal to zero and attempt to solve:

Simplifying
7 + -4w = 0

Solving
7 + -4w = 0

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

Add '-7' to each side of the equation.
7 + -7 + -4w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4w = 0 + -7
-4w = 0 + -7

Combine like terms: 0 + -7 = -7
-4w = -7

Divide each side by '-4'.
w = 1.75

Simplifying
w = 1.75

Subproblem 2
Set the factor '(4 + -1w)' equal to zero and attempt to solve:

Simplifying
4 + -1w = 0

Solving
4 + -1w = 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 + -1w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1w = 0 + -4
-1w = 0 + -4

Combine like terms: 0 + -4 = -4
-1w = -4

Divide each side by '-1'.
w = 4

Simplifying
w = 4
Solution
w = {1.75, 4}

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