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Simplifying 25x2 + 16y2 + 100y = 384 Reorder the terms: 25x2 + 100y + 16y2 = 384 Solving 25x2 + 100y + 16y2 = 384 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100y' to each side of the equation. 25x2 + 100y + -100y + 16y2 = 384 + -100y Combine like terms: 100y + -100y = 0 25x2 + 0 + 16y2 = 384 + -100y 25x2 + 16y2 = 384 + -100y Add '-16y2' to each side of the equation. 25x2 + 16y2 + -16y2 = 384 + -100y + -16y2 Combine like terms: 16y2 + -16y2 = 0 25x2 + 0 = 384 + -100y + -16y2 25x2 = 384 + -100y + -16y2 Divide each side by '25'. x2 = 15.36 + -4y + -0.64y2 Simplifying x2 = 15.36 + -4y + -0.64y2 Reorder the terms: -15.36 + x2 + 4y + 0.64y2 = 15.36 + -4y + -0.64y2 + -15.36 + 4y + 0.64y2 Reorder the terms: -15.36 + x2 + 4y + 0.64y2 = 15.36 + -15.36 + -4y + 4y + -0.64y2 + 0.64y2 Combine like terms: 15.36 + -15.36 = 0.00 -15.36 + x2 + 4y + 0.64y2 = 0.00 + -4y + 4y + -0.64y2 + 0.64y2 -15.36 + x2 + 4y + 0.64y2 = -4y + 4y + -0.64y2 + 0.64y2 Combine like terms: -4y + 4y = 0 -15.36 + x2 + 4y + 0.64y2 = 0 + -0.64y2 + 0.64y2 -15.36 + x2 + 4y + 0.64y2 = -0.64y2 + 0.64y2 Combine like terms: -0.64y2 + 0.64y2 = 0.00 -15.36 + x2 + 4y + 0.64y2 = 0.00 The solution to this equation could not be determined.
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