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Simplifying 4x2 + -3y2 + 6z2 = 18 Solving 4x2 + -3y2 + 6z2 = 18 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. 4x2 + -3y2 + 3y2 + 6z2 = 18 + 3y2 Combine like terms: -3y2 + 3y2 = 0 4x2 + 0 + 6z2 = 18 + 3y2 4x2 + 6z2 = 18 + 3y2 Add '-6z2' to each side of the equation. 4x2 + 6z2 + -6z2 = 18 + 3y2 + -6z2 Combine like terms: 6z2 + -6z2 = 0 4x2 + 0 = 18 + 3y2 + -6z2 4x2 = 18 + 3y2 + -6z2 Divide each side by '4'. x2 = 4.5 + 0.75y2 + -1.5z2 Simplifying x2 = 4.5 + 0.75y2 + -1.5z2 Reorder the terms: -4.5 + x2 + -0.75y2 + 1.5z2 = 4.5 + 0.75y2 + -1.5z2 + -4.5 + -0.75y2 + 1.5z2 Reorder the terms: -4.5 + x2 + -0.75y2 + 1.5z2 = 4.5 + -4.5 + 0.75y2 + -0.75y2 + -1.5z2 + 1.5z2 Combine like terms: 4.5 + -4.5 = 0.0 -4.5 + x2 + -0.75y2 + 1.5z2 = 0.0 + 0.75y2 + -0.75y2 + -1.5z2 + 1.5z2 -4.5 + x2 + -0.75y2 + 1.5z2 = 0.75y2 + -0.75y2 + -1.5z2 + 1.5z2 Combine like terms: 0.75y2 + -0.75y2 = 0.00 -4.5 + x2 + -0.75y2 + 1.5z2 = 0.00 + -1.5z2 + 1.5z2 -4.5 + x2 + -0.75y2 + 1.5z2 = -1.5z2 + 1.5z2 Combine like terms: -1.5z2 + 1.5z2 = 0.0 -4.5 + x2 + -0.75y2 + 1.5z2 = 0.0 The solution to this equation could not be determined.
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