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Simplifying 4c2 + 4y2 + 10x + 14y + -15 = 0 Reorder the terms: -15 + 4c2 + 10x + 14y + 4y2 = 0 Solving -15 + 4c2 + 10x + 14y + 4y2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 4c2 + 10x + 14y + 15 + 4y2 = 0 + 15 Reorder the terms: -15 + 15 + 4c2 + 10x + 14y + 4y2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 4c2 + 10x + 14y + 4y2 = 0 + 15 4c2 + 10x + 14y + 4y2 = 0 + 15 Combine like terms: 0 + 15 = 15 4c2 + 10x + 14y + 4y2 = 15 Add '-10x' to each side of the equation. 4c2 + 10x + 14y + -10x + 4y2 = 15 + -10x Reorder the terms: 4c2 + 10x + -10x + 14y + 4y2 = 15 + -10x Combine like terms: 10x + -10x = 0 4c2 + 0 + 14y + 4y2 = 15 + -10x 4c2 + 14y + 4y2 = 15 + -10x Add '-14y' to each side of the equation. 4c2 + 14y + -14y + 4y2 = 15 + -10x + -14y Combine like terms: 14y + -14y = 0 4c2 + 0 + 4y2 = 15 + -10x + -14y 4c2 + 4y2 = 15 + -10x + -14y Add '-4y2' to each side of the equation. 4c2 + 4y2 + -4y2 = 15 + -10x + -14y + -4y2 Combine like terms: 4y2 + -4y2 = 0 4c2 + 0 = 15 + -10x + -14y + -4y2 4c2 = 15 + -10x + -14y + -4y2 Divide each side by '4'. c2 = 3.75 + -2.5x + -3.5y + -1y2 Simplifying c2 = 3.75 + -2.5x + -3.5y + -1y2 Reorder the terms: -3.75 + c2 + 2.5x + 3.5y + y2 = 3.75 + -2.5x + -3.5y + -1y2 + -3.75 + 2.5x + 3.5y + y2 Reorder the terms: -3.75 + c2 + 2.5x + 3.5y + y2 = 3.75 + -3.75 + -2.5x + 2.5x + -3.5y + 3.5y + -1y2 + y2 Combine like terms: 3.75 + -3.75 = 0.00 -3.75 + c2 + 2.5x + 3.5y + y2 = 0.00 + -2.5x + 2.5x + -3.5y + 3.5y + -1y2 + y2 -3.75 + c2 + 2.5x + 3.5y + y2 = -2.5x + 2.5x + -3.5y + 3.5y + -1y2 + y2 Combine like terms: -2.5x + 2.5x = 0.0 -3.75 + c2 + 2.5x + 3.5y + y2 = 0.0 + -3.5y + 3.5y + -1y2 + y2 -3.75 + c2 + 2.5x + 3.5y + y2 = -3.5y + 3.5y + -1y2 + y2 Combine like terms: -3.5y + 3.5y = 0.0 -3.75 + c2 + 2.5x + 3.5y + y2 = 0.0 + -1y2 + y2 -3.75 + c2 + 2.5x + 3.5y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -3.75 + c2 + 2.5x + 3.5y + y2 = 0 The solution to this equation could not be determined.
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