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Simplifying 5x2 + -4y2 + 5z2 + 107 = 0 Reorder the terms: 107 + 5x2 + -4y2 + 5z2 = 0 Solving 107 + 5x2 + -4y2 + 5z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-107' to each side of the equation. 107 + 5x2 + -4y2 + -107 + 5z2 = 0 + -107 Reorder the terms: 107 + -107 + 5x2 + -4y2 + 5z2 = 0 + -107 Combine like terms: 107 + -107 = 0 0 + 5x2 + -4y2 + 5z2 = 0 + -107 5x2 + -4y2 + 5z2 = 0 + -107 Combine like terms: 0 + -107 = -107 5x2 + -4y2 + 5z2 = -107 Add '4y2' to each side of the equation. 5x2 + -4y2 + 4y2 + 5z2 = -107 + 4y2 Combine like terms: -4y2 + 4y2 = 0 5x2 + 0 + 5z2 = -107 + 4y2 5x2 + 5z2 = -107 + 4y2 Add '-5z2' to each side of the equation. 5x2 + 5z2 + -5z2 = -107 + 4y2 + -5z2 Combine like terms: 5z2 + -5z2 = 0 5x2 + 0 = -107 + 4y2 + -5z2 5x2 = -107 + 4y2 + -5z2 Divide each side by '5'. x2 = -21.4 + 0.8y2 + -1z2 Simplifying x2 = -21.4 + 0.8y2 + -1z2 Reorder the terms: 21.4 + x2 + -0.8y2 + z2 = -21.4 + 0.8y2 + -1z2 + 21.4 + -0.8y2 + z2 Reorder the terms: 21.4 + x2 + -0.8y2 + z2 = -21.4 + 21.4 + 0.8y2 + -0.8y2 + -1z2 + z2 Combine like terms: -21.4 + 21.4 = 0.0 21.4 + x2 + -0.8y2 + z2 = 0.0 + 0.8y2 + -0.8y2 + -1z2 + z2 21.4 + x2 + -0.8y2 + z2 = 0.8y2 + -0.8y2 + -1z2 + z2 Combine like terms: 0.8y2 + -0.8y2 = 0.0 21.4 + x2 + -0.8y2 + z2 = 0.0 + -1z2 + z2 21.4 + x2 + -0.8y2 + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 21.4 + x2 + -0.8y2 + z2 = 0 The solution to this equation could not be determined.
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