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Simplifying 16x2 + (16y2 + 40y) = 164 Reorder the terms: 16x2 + (40y + 16y2) = 164 Remove parenthesis around (40y + 16y2) 16x2 + 40y + 16y2 = 164 Solving 16x2 + 40y + 16y2 = 164 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40y' to each side of the equation. 16x2 + 40y + -40y + 16y2 = 164 + -40y Combine like terms: 40y + -40y = 0 16x2 + 0 + 16y2 = 164 + -40y 16x2 + 16y2 = 164 + -40y Add '-16y2' to each side of the equation. 16x2 + 16y2 + -16y2 = 164 + -40y + -16y2 Combine like terms: 16y2 + -16y2 = 0 16x2 + 0 = 164 + -40y + -16y2 16x2 = 164 + -40y + -16y2 Divide each side by '16'. x2 = 10.25 + -2.5y + -1y2 Simplifying x2 = 10.25 + -2.5y + -1y2 Reorder the terms: -10.25 + x2 + 2.5y + y2 = 10.25 + -2.5y + -1y2 + -10.25 + 2.5y + y2 Reorder the terms: -10.25 + x2 + 2.5y + y2 = 10.25 + -10.25 + -2.5y + 2.5y + -1y2 + y2 Combine like terms: 10.25 + -10.25 = 0.00 -10.25 + x2 + 2.5y + y2 = 0.00 + -2.5y + 2.5y + -1y2 + y2 -10.25 + x2 + 2.5y + y2 = -2.5y + 2.5y + -1y2 + y2 Combine like terms: -2.5y + 2.5y = 0.0 -10.25 + x2 + 2.5y + y2 = 0.0 + -1y2 + y2 -10.25 + x2 + 2.5y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -10.25 + x2 + 2.5y + y2 = 0 The solution to this equation could not be determined.
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