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Simplifying 5x2 + 3y2 + -7z2 = 0 Solving 5x2 + 3y2 + -7z2 = 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 + -7z2 = 0 + -3y2 Combine like terms: 3y2 + -3y2 = 0 5x2 + 0 + -7z2 = 0 + -3y2 5x2 + -7z2 = 0 + -3y2 Remove the zero: 5x2 + -7z2 = -3y2 Add '7z2' to each side of the equation. 5x2 + -7z2 + 7z2 = -3y2 + 7z2 Combine like terms: -7z2 + 7z2 = 0 5x2 + 0 = -3y2 + 7z2 5x2 = -3y2 + 7z2 Divide each side by '5'. x2 = -0.6y2 + 1.4z2 Simplifying x2 = -0.6y2 + 1.4z2 Reorder the terms: x2 + 0.6y2 + -1.4z2 = -0.6y2 + 0.6y2 + 1.4z2 + -1.4z2 Combine like terms: -0.6y2 + 0.6y2 = 0.0 x2 + 0.6y2 + -1.4z2 = 0.0 + 1.4z2 + -1.4z2 x2 + 0.6y2 + -1.4z2 = 1.4z2 + -1.4z2 Combine like terms: 1.4z2 + -1.4z2 = 0.0 x2 + 0.6y2 + -1.4z2 = 0.0 The solution to this equation could not be determined.
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