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Simplifying 28x2 + 5xy + -12y2 = 0 Reorder the terms: 5xy + 28x2 + -12y2 = 0 Solving 5xy + 28x2 + -12y2 = 0 Solving for variable 'x'. Factor a trinomial. (7x + -4y)(4x + 3y) = 0Subproblem 1
Set the factor '(7x + -4y)' equal to zero and attempt to solve: Simplifying 7x + -4y = 0 Solving 7x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 7x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 7x + 0 = 0 + 4y 7x = 0 + 4y Remove the zero: 7x = 4y Divide each side by '7'. x = 0.5714285714y Simplifying x = 0.5714285714ySubproblem 2
Set the factor '(4x + 3y)' equal to zero and attempt to solve: Simplifying 4x + 3y = 0 Solving 4x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 4x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 4x + 0 = 0 + -3y 4x = 0 + -3y Remove the zero: 4x = -3y Divide each side by '4'. x = -0.75y Simplifying x = -0.75ySolution
x = {0.5714285714y, -0.75y}
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