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Simplifying 5x2 + 3y2 + 6z2 = 0 Solving 5x2 + 3y2 + 6z2 = 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 + 6z2 = 0 + -3y2 Combine like terms: 3y2 + -3y2 = 0 5x2 + 0 + 6z2 = 0 + -3y2 5x2 + 6z2 = 0 + -3y2 Remove the zero: 5x2 + 6z2 = -3y2 Add '-6z2' to each side of the equation. 5x2 + 6z2 + -6z2 = -3y2 + -6z2 Combine like terms: 6z2 + -6z2 = 0 5x2 + 0 = -3y2 + -6z2 5x2 = -3y2 + -6z2 Divide each side by '5'. x2 = -0.6y2 + -1.2z2 Simplifying x2 = -0.6y2 + -1.2z2 Reorder the terms: x2 + 0.6y2 + 1.2z2 = -0.6y2 + 0.6y2 + -1.2z2 + 1.2z2 Combine like terms: -0.6y2 + 0.6y2 = 0.0 x2 + 0.6y2 + 1.2z2 = 0.0 + -1.2z2 + 1.2z2 x2 + 0.6y2 + 1.2z2 = -1.2z2 + 1.2z2 Combine like terms: -1.2z2 + 1.2z2 = 0.0 x2 + 0.6y2 + 1.2z2 = 0.0 The solution to this equation could not be determined.
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