2x^2-14xy+24y^2=

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Solution for 2x^2-14xy+24y^2= equation:


Simplifying
2x2 + -14xy + 24y2 = 0

Reorder the terms:
-14xy + 2x2 + 24y2 = 0

Solving
-14xy + 2x2 + 24y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-7xy + x2 + 12y2) = 0

Factor a trinomial.
2((x + -4y)(x + -3y)) = 0

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

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

Solution

x = {4y, 3y}

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