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Simplifying 5x2 + -56xy2 + 11y4 = 0 Reorder the terms: -56xy2 + 5x2 + 11y4 = 0 Solving -56xy2 + 5x2 + 11y4 = 0 Solving for variable 'x'. Factor a trinomial. (x + -11y2)(5x + -1y2) = 0Subproblem 1
Set the factor '(x + -11y2)' equal to zero and attempt to solve: Simplifying x + -11y2 = 0 Solving x + -11y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '11y2' to each side of the equation. x + -11y2 + 11y2 = 0 + 11y2 Combine like terms: -11y2 + 11y2 = 0 x + 0 = 0 + 11y2 x = 0 + 11y2 Remove the zero: x = 11y2 Simplifying x = 11y2Subproblem 2
Set the factor '(5x + -1y2)' equal to zero and attempt to solve: Simplifying 5x + -1y2 = 0 Solving 5x + -1y2 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y2' to each side of the equation. 5x + -1y2 + y2 = 0 + y2 Combine like terms: -1y2 + y2 = 0 5x + 0 = 0 + y2 5x = 0 + y2 Remove the zero: 5x = y2 Divide each side by '5'. x = 0.2y2 Simplifying x = 0.2y2Solution
x = {11y2, 0.2y2}
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