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Simplifying y2(x + 6) + -10y(x + 6) + 24(x + 6) = 0 Reorder the terms: y2(6 + x) + -10y(x + 6) + 24(x + 6) = 0 (6 * y2 + x * y2) + -10y(x + 6) + 24(x + 6) = 0 Reorder the terms: (xy2 + 6y2) + -10y(x + 6) + 24(x + 6) = 0 (xy2 + 6y2) + -10y(x + 6) + 24(x + 6) = 0 Reorder the terms: xy2 + 6y2 + -10y(6 + x) + 24(x + 6) = 0 xy2 + 6y2 + (6 * -10y + x * -10y) + 24(x + 6) = 0 Reorder the terms: xy2 + 6y2 + (-10xy + -60y) + 24(x + 6) = 0 xy2 + 6y2 + (-10xy + -60y) + 24(x + 6) = 0 Reorder the terms: xy2 + 6y2 + -10xy + -60y + 24(6 + x) = 0 xy2 + 6y2 + -10xy + -60y + (6 * 24 + x * 24) = 0 xy2 + 6y2 + -10xy + -60y + (144 + 24x) = 0 Reorder the terms: 144 + 24x + -10xy + xy2 + -60y + 6y2 = 0 Solving 144 + 24x + -10xy + xy2 + -60y + 6y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-144' to each side of the equation. 144 + 24x + -10xy + xy2 + -60y + -144 + 6y2 = 0 + -144 Reorder the terms: 144 + -144 + 24x + -10xy + xy2 + -60y + 6y2 = 0 + -144 Combine like terms: 144 + -144 = 0 0 + 24x + -10xy + xy2 + -60y + 6y2 = 0 + -144 24x + -10xy + xy2 + -60y + 6y2 = 0 + -144 Combine like terms: 0 + -144 = -144 24x + -10xy + xy2 + -60y + 6y2 = -144 Add '60y' to each side of the equation. 24x + -10xy + xy2 + -60y + 60y + 6y2 = -144 + 60y Combine like terms: -60y + 60y = 0 24x + -10xy + xy2 + 0 + 6y2 = -144 + 60y 24x + -10xy + xy2 + 6y2 = -144 + 60y Add '-6y2' to each side of the equation. 24x + -10xy + xy2 + 6y2 + -6y2 = -144 + 60y + -6y2 Combine like terms: 6y2 + -6y2 = 0 24x + -10xy + xy2 + 0 = -144 + 60y + -6y2 24x + -10xy + xy2 = -144 + 60y + -6y2 Reorder the terms: 144 + 24x + -10xy + xy2 + -60y + 6y2 = -144 + 60y + -6y2 + 144 + -60y + 6y2 Reorder the terms: 144 + 24x + -10xy + xy2 + -60y + 6y2 = -144 + 144 + 60y + -60y + -6y2 + 6y2 Combine like terms: -144 + 144 = 0 144 + 24x + -10xy + xy2 + -60y + 6y2 = 0 + 60y + -60y + -6y2 + 6y2 144 + 24x + -10xy + xy2 + -60y + 6y2 = 60y + -60y + -6y2 + 6y2 Combine like terms: 60y + -60y = 0 144 + 24x + -10xy + xy2 + -60y + 6y2 = 0 + -6y2 + 6y2 144 + 24x + -10xy + xy2 + -60y + 6y2 = -6y2 + 6y2 Combine like terms: -6y2 + 6y2 = 0 144 + 24x + -10xy + xy2 + -60y + 6y2 = 0 The solution to this equation could not be determined.
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