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Simplifying 4x2 + -9y2 + z = 0 Solving 4x2 + -9y2 + z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9y2' to each side of the equation. 4x2 + -9y2 + 9y2 + z = 0 + 9y2 Combine like terms: -9y2 + 9y2 = 0 4x2 + 0 + z = 0 + 9y2 4x2 + z = 0 + 9y2 Remove the zero: 4x2 + z = 9y2 Add '-1z' to each side of the equation. 4x2 + z + -1z = 9y2 + -1z Combine like terms: z + -1z = 0 4x2 + 0 = 9y2 + -1z 4x2 = 9y2 + -1z Divide each side by '4'. x2 = 2.25y2 + -0.25z Simplifying x2 = 2.25y2 + -0.25z Reorder the terms: x2 + -2.25y2 + 0.25z = 2.25y2 + -2.25y2 + -0.25z + 0.25z Combine like terms: 2.25y2 + -2.25y2 = 0.00 x2 + -2.25y2 + 0.25z = 0.00 + -0.25z + 0.25z x2 + -2.25y2 + 0.25z = -0.25z + 0.25z Combine like terms: -0.25z + 0.25z = 0.00 x2 + -2.25y2 + 0.25z = 0.00 The solution to this equation could not be determined.
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