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Simplifying 10x2 + -1y2 + -8y + -64 = 0 Reorder the terms: -64 + 10x2 + -8y + -1y2 = 0 Solving -64 + 10x2 + -8y + -1y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 10x2 + -8y + 64 + -1y2 = 0 + 64 Reorder the terms: -64 + 64 + 10x2 + -8y + -1y2 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 10x2 + -8y + -1y2 = 0 + 64 10x2 + -8y + -1y2 = 0 + 64 Combine like terms: 0 + 64 = 64 10x2 + -8y + -1y2 = 64 Add '8y' to each side of the equation. 10x2 + -8y + 8y + -1y2 = 64 + 8y Combine like terms: -8y + 8y = 0 10x2 + 0 + -1y2 = 64 + 8y 10x2 + -1y2 = 64 + 8y Add 'y2' to each side of the equation. 10x2 + -1y2 + y2 = 64 + 8y + y2 Combine like terms: -1y2 + y2 = 0 10x2 + 0 = 64 + 8y + y2 10x2 = 64 + 8y + y2 Divide each side by '10'. x2 = 6.4 + 0.8y + 0.1y2 Simplifying x2 = 6.4 + 0.8y + 0.1y2 Reorder the terms: -6.4 + x2 + -0.8y + -0.1y2 = 6.4 + 0.8y + 0.1y2 + -6.4 + -0.8y + -0.1y2 Reorder the terms: -6.4 + x2 + -0.8y + -0.1y2 = 6.4 + -6.4 + 0.8y + -0.8y + 0.1y2 + -0.1y2 Combine like terms: 6.4 + -6.4 = 0.0 -6.4 + x2 + -0.8y + -0.1y2 = 0.0 + 0.8y + -0.8y + 0.1y2 + -0.1y2 -6.4 + x2 + -0.8y + -0.1y2 = 0.8y + -0.8y + 0.1y2 + -0.1y2 Combine like terms: 0.8y + -0.8y = 0.0 -6.4 + x2 + -0.8y + -0.1y2 = 0.0 + 0.1y2 + -0.1y2 -6.4 + x2 + -0.8y + -0.1y2 = 0.1y2 + -0.1y2 Combine like terms: 0.1y2 + -0.1y2 = 0.0 -6.4 + x2 + -0.8y + -0.1y2 = 0.0 The solution to this equation could not be determined.
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