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Simplifying 25x2 + 5y2 + -2z = 5 + 3z Solving 25x2 + 5y2 + -2z = 5 + 3z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y2' to each side of the equation. 25x2 + 5y2 + -5y2 + -2z = 5 + -5y2 + 3z Combine like terms: 5y2 + -5y2 = 0 25x2 + 0 + -2z = 5 + -5y2 + 3z 25x2 + -2z = 5 + -5y2 + 3z Add '2z' to each side of the equation. 25x2 + -2z + 2z = 5 + -5y2 + 3z + 2z Combine like terms: -2z + 2z = 0 25x2 + 0 = 5 + -5y2 + 3z + 2z 25x2 = 5 + -5y2 + 3z + 2z Combine like terms: 3z + 2z = 5z 25x2 = 5 + -5y2 + 5z Divide each side by '25'. x2 = 0.2 + -0.2y2 + 0.2z Simplifying x2 = 0.2 + -0.2y2 + 0.2z Reorder the terms: -0.2 + x2 + 0.2y2 + -0.2z = 0.2 + -0.2y2 + 0.2z + -0.2 + 0.2y2 + -0.2z Reorder the terms: -0.2 + x2 + 0.2y2 + -0.2z = 0.2 + -0.2 + -0.2y2 + 0.2y2 + 0.2z + -0.2z Combine like terms: 0.2 + -0.2 = 0.0 -0.2 + x2 + 0.2y2 + -0.2z = 0.0 + -0.2y2 + 0.2y2 + 0.2z + -0.2z -0.2 + x2 + 0.2y2 + -0.2z = -0.2y2 + 0.2y2 + 0.2z + -0.2z Combine like terms: -0.2y2 + 0.2y2 = 0.0 -0.2 + x2 + 0.2y2 + -0.2z = 0.0 + 0.2z + -0.2z -0.2 + x2 + 0.2y2 + -0.2z = 0.2z + -0.2z Combine like terms: 0.2z + -0.2z = 0.0 -0.2 + x2 + 0.2y2 + -0.2z = 0.0 The solution to this equation could not be determined.
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