49x^2-28xw+4w^2=0

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Solution for 49x^2-28xw+4w^2=0 equation:


Simplifying
49x2 + -28xw + 4w2 = 0

Reorder the terms:
-28wx + 4w2 + 49x2 = 0

Solving
-28wx + 4w2 + 49x2 = 0

Solving for variable 'w'.

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

Solution

w = {3.5x, 3.5x}

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