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Simplifying 5x2 + 6y2 + -10z2 + 30 = 0 Reorder the terms: 30 + 5x2 + 6y2 + -10z2 = 0 Solving 30 + 5x2 + 6y2 + -10z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 5x2 + 6y2 + -30 + -10z2 = 0 + -30 Reorder the terms: 30 + -30 + 5x2 + 6y2 + -10z2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 5x2 + 6y2 + -10z2 = 0 + -30 5x2 + 6y2 + -10z2 = 0 + -30 Combine like terms: 0 + -30 = -30 5x2 + 6y2 + -10z2 = -30 Add '-6y2' to each side of the equation. 5x2 + 6y2 + -6y2 + -10z2 = -30 + -6y2 Combine like terms: 6y2 + -6y2 = 0 5x2 + 0 + -10z2 = -30 + -6y2 5x2 + -10z2 = -30 + -6y2 Add '10z2' to each side of the equation. 5x2 + -10z2 + 10z2 = -30 + -6y2 + 10z2 Combine like terms: -10z2 + 10z2 = 0 5x2 + 0 = -30 + -6y2 + 10z2 5x2 = -30 + -6y2 + 10z2 Divide each side by '5'. x2 = -6 + -1.2y2 + 2z2 Simplifying x2 = -6 + -1.2y2 + 2z2 Reorder the terms: 6 + x2 + 1.2y2 + -2z2 = -6 + -1.2y2 + 2z2 + 6 + 1.2y2 + -2z2 Reorder the terms: 6 + x2 + 1.2y2 + -2z2 = -6 + 6 + -1.2y2 + 1.2y2 + 2z2 + -2z2 Combine like terms: -6 + 6 = 0 6 + x2 + 1.2y2 + -2z2 = 0 + -1.2y2 + 1.2y2 + 2z2 + -2z2 6 + x2 + 1.2y2 + -2z2 = -1.2y2 + 1.2y2 + 2z2 + -2z2 Combine like terms: -1.2y2 + 1.2y2 = 0.0 6 + x2 + 1.2y2 + -2z2 = 0.0 + 2z2 + -2z2 6 + x2 + 1.2y2 + -2z2 = 2z2 + -2z2 Combine like terms: 2z2 + -2z2 = 0 6 + x2 + 1.2y2 + -2z2 = 0 The solution to this equation could not be determined.
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