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Simplifying 5(x2 + 3y2) + -9(x2 + 5y) = 0 (x2 * 5 + 3y2 * 5) + -9(x2 + 5y) = 0 (5x2 + 15y2) + -9(x2 + 5y) = 0 5x2 + 15y2 + (x2 * -9 + 5y * -9) = 0 5x2 + 15y2 + (-9x2 + -45y) = 0 Reorder the terms: 5x2 + -9x2 + -45y + 15y2 = 0 Combine like terms: 5x2 + -9x2 = -4x2 -4x2 + -45y + 15y2 = 0 Solving -4x2 + -45y + 15y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45y' to each side of the equation. -4x2 + -45y + 45y + 15y2 = 0 + 45y Combine like terms: -45y + 45y = 0 -4x2 + 0 + 15y2 = 0 + 45y -4x2 + 15y2 = 0 + 45y Remove the zero: -4x2 + 15y2 = 45y Add '-15y2' to each side of the equation. -4x2 + 15y2 + -15y2 = 45y + -15y2 Combine like terms: 15y2 + -15y2 = 0 -4x2 + 0 = 45y + -15y2 -4x2 = 45y + -15y2 Divide each side by '-4'. x2 = -11.25y + 3.75y2 Simplifying x2 = -11.25y + 3.75y2 Reorder the terms: x2 + 11.25y + -3.75y2 = -11.25y + 11.25y + 3.75y2 + -3.75y2 Combine like terms: -11.25y + 11.25y = 0.00 x2 + 11.25y + -3.75y2 = 0.00 + 3.75y2 + -3.75y2 x2 + 11.25y + -3.75y2 = 3.75y2 + -3.75y2 Combine like terms: 3.75y2 + -3.75y2 = 0.00 x2 + 11.25y + -3.75y2 = 0.00 The solution to this equation could not be determined.
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