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Simplifying 5x2 + 7y + -3z + -3x2 + -3y + 4z = 0 Reorder the terms: 5x2 + -3x2 + 7y + -3y + -3z + 4z = 0 Combine like terms: 5x2 + -3x2 = 2x2 2x2 + 7y + -3y + -3z + 4z = 0 Combine like terms: 7y + -3y = 4y 2x2 + 4y + -3z + 4z = 0 Combine like terms: -3z + 4z = 1z 2x2 + 4y + 1z = 0 Solving 2x2 + 4y + 1z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 2x2 + 4y + -4y + 1z = 0 + -4y Combine like terms: 4y + -4y = 0 2x2 + 0 + 1z = 0 + -4y 2x2 + 1z = 0 + -4y Remove the zero: 2x2 + 1z = -4y Add '-1z' to each side of the equation. 2x2 + 1z + -1z = -4y + -1z Combine like terms: 1z + -1z = 0 2x2 + 0 = -4y + -1z 2x2 = -4y + -1z Divide each side by '2'. x2 = -2y + -0.5z Simplifying x2 = -2y + -0.5z Reorder the terms: x2 + 2y + 0.5z = -2y + 2y + -0.5z + 0.5z Combine like terms: -2y + 2y = 0 x2 + 2y + 0.5z = 0 + -0.5z + 0.5z x2 + 2y + 0.5z = -0.5z + 0.5z Combine like terms: -0.5z + 0.5z = 0.0 x2 + 2y + 0.5z = 0.0 The solution to this equation could not be determined.
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