4w^2-8wx-21x^2=

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Solution for 4w^2-8wx-21x^2= equation: 


Simplifying
4w2 + -8wx + -21x2 = 0

Reorder the terms:
-8wx + 4w2 + -21x2 = 0

Solving
-8wx + 4w2 + -21x2 = 0

Solving for variable 'w'.

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


Subproblem 1
Set the factor '(2w + -7x)' equal to zero and attempt to solve:

Simplifying
2w + -7x = 0

Solving
2w + -7x = 0

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

Add '7x' to each side of the equation.
2w + -7x + 7x = 0 + 7x

Combine like terms: -7x + 7x = 0
2w + 0 = 0 + 7x
2w = 0 + 7x
Remove the zero:
2w = 7x

Divide each side by '2'.
w = 3.5x

Simplifying
w = 3.5x

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

Simplifying
2w + 3x = 0

Solving
2w + 3x = 0

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

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

Combine like terms: 3x + -3x = 0
2w + 0 = 0 + -3x
2w = 0 + -3x
Remove the zero:
2w = -3x

Divide each side by '2'.
w = -1.5x

Simplifying
w = -1.5x
Solution
w = {3.5x, -1.5x}

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