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Simplifying 4x2 + 16y2 + 160y + 336 = 0 Reorder the terms: 336 + 4x2 + 160y + 16y2 = 0 Solving 336 + 4x2 + 160y + 16y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-336' to each side of the equation. 336 + 4x2 + 160y + -336 + 16y2 = 0 + -336 Reorder the terms: 336 + -336 + 4x2 + 160y + 16y2 = 0 + -336 Combine like terms: 336 + -336 = 0 0 + 4x2 + 160y + 16y2 = 0 + -336 4x2 + 160y + 16y2 = 0 + -336 Combine like terms: 0 + -336 = -336 4x2 + 160y + 16y2 = -336 Add '-160y' to each side of the equation. 4x2 + 160y + -160y + 16y2 = -336 + -160y Combine like terms: 160y + -160y = 0 4x2 + 0 + 16y2 = -336 + -160y 4x2 + 16y2 = -336 + -160y Add '-16y2' to each side of the equation. 4x2 + 16y2 + -16y2 = -336 + -160y + -16y2 Combine like terms: 16y2 + -16y2 = 0 4x2 + 0 = -336 + -160y + -16y2 4x2 = -336 + -160y + -16y2 Divide each side by '4'. x2 = -84 + -40y + -4y2 Simplifying x2 = -84 + -40y + -4y2 Reorder the terms: 84 + x2 + 40y + 4y2 = -84 + -40y + -4y2 + 84 + 40y + 4y2 Reorder the terms: 84 + x2 + 40y + 4y2 = -84 + 84 + -40y + 40y + -4y2 + 4y2 Combine like terms: -84 + 84 = 0 84 + x2 + 40y + 4y2 = 0 + -40y + 40y + -4y2 + 4y2 84 + x2 + 40y + 4y2 = -40y + 40y + -4y2 + 4y2 Combine like terms: -40y + 40y = 0 84 + x2 + 40y + 4y2 = 0 + -4y2 + 4y2 84 + x2 + 40y + 4y2 = -4y2 + 4y2 Combine like terms: -4y2 + 4y2 = 0 84 + x2 + 40y + 4y2 = 0 The solution to this equation could not be determined.
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