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Simplifying y2 + -16y + -4x + 100 = 0 Reorder the terms: 100 + -4x + -16y + y2 = 0 Solving 100 + -4x + -16y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -4x + -16y + -100 + y2 = 0 + -100 Reorder the terms: 100 + -100 + -4x + -16y + y2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -4x + -16y + y2 = 0 + -100 -4x + -16y + y2 = 0 + -100 Combine like terms: 0 + -100 = -100 -4x + -16y + y2 = -100 Add '16y' to each side of the equation. -4x + -16y + 16y + y2 = -100 + 16y Combine like terms: -16y + 16y = 0 -4x + 0 + y2 = -100 + 16y -4x + y2 = -100 + 16y Add '-1y2' to each side of the equation. -4x + y2 + -1y2 = -100 + 16y + -1y2 Combine like terms: y2 + -1y2 = 0 -4x + 0 = -100 + 16y + -1y2 -4x = -100 + 16y + -1y2 Divide each side by '-4'. x = 25 + -4y + 0.25y2 Simplifying x = 25 + -4y + 0.25y2
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