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Simplifying 100x2 + -9y2 + 36y + -900 = 0 Reorder the terms: -900 + 100x2 + 36y + -9y2 = 0 Solving -900 + 100x2 + 36y + -9y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '900' to each side of the equation. -900 + 100x2 + 36y + 900 + -9y2 = 0 + 900 Reorder the terms: -900 + 900 + 100x2 + 36y + -9y2 = 0 + 900 Combine like terms: -900 + 900 = 0 0 + 100x2 + 36y + -9y2 = 0 + 900 100x2 + 36y + -9y2 = 0 + 900 Combine like terms: 0 + 900 = 900 100x2 + 36y + -9y2 = 900 Add '-36y' to each side of the equation. 100x2 + 36y + -36y + -9y2 = 900 + -36y Combine like terms: 36y + -36y = 0 100x2 + 0 + -9y2 = 900 + -36y 100x2 + -9y2 = 900 + -36y Add '9y2' to each side of the equation. 100x2 + -9y2 + 9y2 = 900 + -36y + 9y2 Combine like terms: -9y2 + 9y2 = 0 100x2 + 0 = 900 + -36y + 9y2 100x2 = 900 + -36y + 9y2 Divide each side by '100'. x2 = 9 + -0.36y + 0.09y2 Simplifying x2 = 9 + -0.36y + 0.09y2 Reorder the terms: -9 + x2 + 0.36y + -0.09y2 = 9 + -0.36y + 0.09y2 + -9 + 0.36y + -0.09y2 Reorder the terms: -9 + x2 + 0.36y + -0.09y2 = 9 + -9 + -0.36y + 0.36y + 0.09y2 + -0.09y2 Combine like terms: 9 + -9 = 0 -9 + x2 + 0.36y + -0.09y2 = 0 + -0.36y + 0.36y + 0.09y2 + -0.09y2 -9 + x2 + 0.36y + -0.09y2 = -0.36y + 0.36y + 0.09y2 + -0.09y2 Combine like terms: -0.36y + 0.36y = 0.00 -9 + x2 + 0.36y + -0.09y2 = 0.00 + 0.09y2 + -0.09y2 -9 + x2 + 0.36y + -0.09y2 = 0.09y2 + -0.09y2 Combine like terms: 0.09y2 + -0.09y2 = 0.00 -9 + x2 + 0.36y + -0.09y2 = 0.00 The solution to this equation could not be determined.
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