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Simplifying (0.04x2 + 0.2x + 12)(0.04x2 + 0.2x + 12) = 144 Reorder the terms: (12 + 0.2x + 0.04x2)(0.04x2 + 0.2x + 12) = 144 Reorder the terms: (12 + 0.2x + 0.04x2)(12 + 0.2x + 0.04x2) = 144 Multiply (12 + 0.2x + 0.04x2) * (12 + 0.2x + 0.04x2) (12(12 + 0.2x + 0.04x2) + 0.2x * (12 + 0.2x + 0.04x2) + 0.04x2 * (12 + 0.2x + 0.04x2)) = 144 ((12 * 12 + 0.2x * 12 + 0.04x2 * 12) + 0.2x * (12 + 0.2x + 0.04x2) + 0.04x2 * (12 + 0.2x + 0.04x2)) = 144 ((144 + 2.4x + 0.48x2) + 0.2x * (12 + 0.2x + 0.04x2) + 0.04x2 * (12 + 0.2x + 0.04x2)) = 144 (144 + 2.4x + 0.48x2 + (12 * 0.2x + 0.2x * 0.2x + 0.04x2 * 0.2x) + 0.04x2 * (12 + 0.2x + 0.04x2)) = 144 (144 + 2.4x + 0.48x2 + (2.4x + 0.04x2 + 0.008x3) + 0.04x2 * (12 + 0.2x + 0.04x2)) = 144 (144 + 2.4x + 0.48x2 + 2.4x + 0.04x2 + 0.008x3 + (12 * 0.04x2 + 0.2x * 0.04x2 + 0.04x2 * 0.04x2)) = 144 (144 + 2.4x + 0.48x2 + 2.4x + 0.04x2 + 0.008x3 + (0.48x2 + 0.008x3 + 0.0016x4)) = 144 Reorder the terms: (144 + 2.4x + 2.4x + 0.48x2 + 0.04x2 + 0.48x2 + 0.008x3 + 0.008x3 + 0.0016x4) = 144 Combine like terms: 2.4x + 2.4x = 4.8x (144 + 4.8x + 0.48x2 + 0.04x2 + 0.48x2 + 0.008x3 + 0.008x3 + 0.0016x4) = 144 Combine like terms: 0.48x2 + 0.04x2 = 0.52x2 (144 + 4.8x + 0.52x2 + 0.48x2 + 0.008x3 + 0.008x3 + 0.0016x4) = 144 Combine like terms: 0.52x2 + 0.48x2 = 1x2 (144 + 4.8x + 1x2 + 0.008x3 + 0.008x3 + 0.0016x4) = 144 Combine like terms: 0.008x3 + 0.008x3 = 0.016x3 (144 + 4.8x + 1x2 + 0.016x3 + 0.0016x4) = 144 Add '-144' to each side of the equation. 144 + 4.8x + 1x2 + 0.016x3 + -144 + 0.0016x4 = 144 + -144 Reorder the terms: 144 + -144 + 4.8x + 1x2 + 0.016x3 + 0.0016x4 = 144 + -144 Combine like terms: 144 + -144 = 0 0 + 4.8x + 1x2 + 0.016x3 + 0.0016x4 = 144 + -144 4.8x + 1x2 + 0.016x3 + 0.0016x4 = 144 + -144 Combine like terms: 144 + -144 = 0 4.8x + 1x2 + 0.016x3 + 0.0016x4 = 0 Solving 4.8x + 1x2 + 0.016x3 + 0.0016x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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