4w^2-13wx+3x^2=0

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Solution for 4w^2-13wx+3x^2=0 equation:


Simplifying
4w2 + -13wx + 3x2 = 0

Reorder the terms:
-13wx + 4w2 + 3x2 = 0

Solving
-13wx + 4w2 + 3x2 = 0

Solving for variable 'w'.

Factor a trinomial.
(w + -3x)(4w + -1x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(4w + -1x)' equal to zero and attempt to solve: Simplifying 4w + -1x = 0 Solving 4w + -1x = 0 Move all terms containing w to the left, all other terms to the right. Add 'x' to each side of the equation. 4w + -1x + x = 0 + x Combine like terms: -1x + x = 0 4w + 0 = 0 + x 4w = 0 + x Remove the zero: 4w = x Divide each side by '4'. w = 0.25x Simplifying w = 0.25x

Solution

w = {3x, 0.25x}

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