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Simplifying 46x3 + 36y2 + -12z + 6 = 0 Reorder the terms: 6 + 46x3 + 36y2 + -12z = 0 Solving 6 + 46x3 + 36y2 + -12z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 46x3 + 36y2 + -6 + -12z = 0 + -6 Reorder the terms: 6 + -6 + 46x3 + 36y2 + -12z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 46x3 + 36y2 + -12z = 0 + -6 46x3 + 36y2 + -12z = 0 + -6 Combine like terms: 0 + -6 = -6 46x3 + 36y2 + -12z = -6 Add '-36y2' to each side of the equation. 46x3 + 36y2 + -36y2 + -12z = -6 + -36y2 Combine like terms: 36y2 + -36y2 = 0 46x3 + 0 + -12z = -6 + -36y2 46x3 + -12z = -6 + -36y2 Add '12z' to each side of the equation. 46x3 + -12z + 12z = -6 + -36y2 + 12z Combine like terms: -12z + 12z = 0 46x3 + 0 = -6 + -36y2 + 12z 46x3 = -6 + -36y2 + 12z Divide each side by '46'. x3 = -0.1304347826 + -0.7826086957y2 + 0.2608695652z Simplifying x3 = -0.1304347826 + -0.7826086957y2 + 0.2608695652z Reorder the terms: 0.1304347826 + x3 + 0.7826086957y2 + -0.2608695652z = -0.1304347826 + -0.7826086957y2 + 0.2608695652z + 0.1304347826 + 0.7826086957y2 + -0.2608695652z Reorder the terms: 0.1304347826 + x3 + 0.7826086957y2 + -0.2608695652z = -0.1304347826 + 0.1304347826 + -0.7826086957y2 + 0.7826086957y2 + 0.2608695652z + -0.2608695652z Combine like terms: -0.1304347826 + 0.1304347826 = 0.0000000000 0.1304347826 + x3 + 0.7826086957y2 + -0.2608695652z = 0.0000000000 + -0.7826086957y2 + 0.7826086957y2 + 0.2608695652z + -0.2608695652z 0.1304347826 + x3 + 0.7826086957y2 + -0.2608695652z = -0.7826086957y2 + 0.7826086957y2 + 0.2608695652z + -0.2608695652z Combine like terms: -0.7826086957y2 + 0.7826086957y2 = 0.0000000000 0.1304347826 + x3 + 0.7826086957y2 + -0.2608695652z = 0.0000000000 + 0.2608695652z + -0.2608695652z 0.1304347826 + x3 + 0.7826086957y2 + -0.2608695652z = 0.2608695652z + -0.2608695652z Combine like terms: 0.2608695652z + -0.2608695652z = 0.0000000000 0.1304347826 + x3 + 0.7826086957y2 + -0.2608695652z = 0.0000000000 The solution to this equation could not be determined.
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