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Simplifying (3.14x2 + 31.4x + 78.5)(5x + -3) = 0 Reorder the terms: (78.5 + 31.4x + 3.14x2)(5x + -3) = 0 Reorder the terms: (78.5 + 31.4x + 3.14x2)(-3 + 5x) = 0 Multiply (78.5 + 31.4x + 3.14x2) * (-3 + 5x) (78.5(-3 + 5x) + 31.4x * (-3 + 5x) + 3.14x2 * (-3 + 5x)) = 0 ((-3 * 78.5 + 5x * 78.5) + 31.4x * (-3 + 5x) + 3.14x2 * (-3 + 5x)) = 0 ((-235.5 + 392.5x) + 31.4x * (-3 + 5x) + 3.14x2 * (-3 + 5x)) = 0 (-235.5 + 392.5x + (-3 * 31.4x + 5x * 31.4x) + 3.14x2 * (-3 + 5x)) = 0 (-235.5 + 392.5x + (-94.2x + 157x2) + 3.14x2 * (-3 + 5x)) = 0 (-235.5 + 392.5x + -94.2x + 157x2 + (-3 * 3.14x2 + 5x * 3.14x2)) = 0 (-235.5 + 392.5x + -94.2x + 157x2 + (-9.42x2 + 15.7x3)) = 0 Combine like terms: 392.5x + -94.2x = 298.3x (-235.5 + 298.3x + 157x2 + -9.42x2 + 15.7x3) = 0 Combine like terms: 157x2 + -9.42x2 = 147.58x2 (-235.5 + 298.3x + 147.58x2 + 15.7x3) = 0 Solving -235.5 + 298.3x + 147.58x2 + 15.7x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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