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Simplifying 5x2 + 2y + 3z2 = 9 Solving 5x2 + 2y + 3z2 = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 5x2 + 2y + -2y + 3z2 = 9 + -2y Combine like terms: 2y + -2y = 0 5x2 + 0 + 3z2 = 9 + -2y 5x2 + 3z2 = 9 + -2y Add '-3z2' to each side of the equation. 5x2 + 3z2 + -3z2 = 9 + -2y + -3z2 Combine like terms: 3z2 + -3z2 = 0 5x2 + 0 = 9 + -2y + -3z2 5x2 = 9 + -2y + -3z2 Divide each side by '5'. x2 = 1.8 + -0.4y + -0.6z2 Simplifying x2 = 1.8 + -0.4y + -0.6z2 Reorder the terms: -1.8 + x2 + 0.4y + 0.6z2 = 1.8 + -0.4y + -0.6z2 + -1.8 + 0.4y + 0.6z2 Reorder the terms: -1.8 + x2 + 0.4y + 0.6z2 = 1.8 + -1.8 + -0.4y + 0.4y + -0.6z2 + 0.6z2 Combine like terms: 1.8 + -1.8 = 0.0 -1.8 + x2 + 0.4y + 0.6z2 = 0.0 + -0.4y + 0.4y + -0.6z2 + 0.6z2 -1.8 + x2 + 0.4y + 0.6z2 = -0.4y + 0.4y + -0.6z2 + 0.6z2 Combine like terms: -0.4y + 0.4y = 0.0 -1.8 + x2 + 0.4y + 0.6z2 = 0.0 + -0.6z2 + 0.6z2 -1.8 + x2 + 0.4y + 0.6z2 = -0.6z2 + 0.6z2 Combine like terms: -0.6z2 + 0.6z2 = 0.0 -1.8 + x2 + 0.4y + 0.6z2 = 0.0 The solution to this equation could not be determined.
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