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Simplifying y2 = -6x2 + 5 Reorder the terms: y2 = 5 + -6x2 Solving y2 = 5 + -6x2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 5 + -6x2 Reorder the terms: -5 + 6x2 + y2 = 5 + -6x2 + -5 + 6x2 Reorder the terms: -5 + 6x2 + y2 = 5 + -5 + -6x2 + 6x2 Combine like terms: 5 + -5 = 0 -5 + 6x2 + y2 = 0 + -6x2 + 6x2 -5 + 6x2 + y2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 -5 + 6x2 + y2 = 0 Factor a trinomial. (2x + -1y)(3x + -1y) = 0Subproblem 1
Set the factor '(2x + -1y)' equal to zero and attempt to solve: Simplifying 2x + -1y = 0 Solving 2x + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2x' to each side of the equation. 2x + -2x + -1y = 0 + -2x Combine like terms: 2x + -2x = 0 0 + -1y = 0 + -2x -1y = 0 + -2x Remove the zero: -1y = -2x Divide each side by '-1'. y = 2x Simplifying y = 2xSubproblem 2
Set the factor '(3x + -1y)' equal to zero and attempt to solve: Simplifying 3x + -1y = 0 Solving 3x + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3x' to each side of the equation. 3x + -3x + -1y = 0 + -3x Combine like terms: 3x + -3x = 0 0 + -1y = 0 + -3x -1y = 0 + -3x Remove the zero: -1y = -3x Divide each side by '-1'. y = 3x Simplifying y = 3xSolution
y = {2x, 3x}
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