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Simplifying 3x(12 + -9) * x(16 + 24) + 8(7 + -5) = 0 Combine like terms: 12 + -9 = 3 3x(3) * x(16 + 24) + 8(7 + -5) = 0 Combine like terms: 16 + 24 = 40 3x * 3x(40) + 8(7 + -5) = 0 Reorder the terms for easier multiplication: 3 * 3 * 40x * x + 8(7 + -5) = 0 Multiply 3 * 3 9 * 40x * x + 8(7 + -5) = 0 Multiply 9 * 40 360x * x + 8(7 + -5) = 0 Multiply x * x 360x2 + 8(7 + -5) = 0 Combine like terms: 7 + -5 = 2 360x2 + 8(2) = 0 Multiply 8 * 2 360x2 + 16 = 0 Reorder the terms: 16 + 360x2 = 0 Solving 16 + 360x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 360x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 360x2 = 0 + -16 360x2 = 0 + -16 Combine like terms: 0 + -16 = -16 360x2 = -16 Divide each side by '360'. x2 = -0.04444444444 Simplifying x2 = -0.04444444444 Reorder the terms: 0.04444444444 + x2 = -0.04444444444 + 0.04444444444 Combine like terms: -0.04444444444 + 0.04444444444 = 0.00000000000 0.04444444444 + x2 = 0.00000000000 The solution to this equation could not be determined.
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