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Simplifying 5x2 + -3y2 + -4z = 0 Solving 5x2 + -3y2 + -4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y2' to each side of the equation. 5x2 + -3y2 + 3y2 + -4z = 0 + 3y2 Combine like terms: -3y2 + 3y2 = 0 5x2 + 0 + -4z = 0 + 3y2 5x2 + -4z = 0 + 3y2 Remove the zero: 5x2 + -4z = 3y2 Add '4z' to each side of the equation. 5x2 + -4z + 4z = 3y2 + 4z Combine like terms: -4z + 4z = 0 5x2 + 0 = 3y2 + 4z 5x2 = 3y2 + 4z Divide each side by '5'. x2 = 0.6y2 + 0.8z Simplifying x2 = 0.6y2 + 0.8z Reorder the terms: x2 + -0.6y2 + -0.8z = 0.6y2 + -0.6y2 + 0.8z + -0.8z Combine like terms: 0.6y2 + -0.6y2 = 0.0 x2 + -0.6y2 + -0.8z = 0.0 + 0.8z + -0.8z x2 + -0.6y2 + -0.8z = 0.8z + -0.8z Combine like terms: 0.8z + -0.8z = 0.0 x2 + -0.6y2 + -0.8z = 0.0 The solution to this equation could not be determined.
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