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Simplifying 4x + -1(9) * 103 + -5x2 = (-14) Multiply -1 * 9 4x + -9 * 103 + -5x2 = (-14) Multiply -9 * 103 4x + -927 + -5x2 = (-14) Reorder the terms: -927 + 4x + -5x2 = (-14) -927 + 4x + -5x2 = -14 Solving -927 + 4x + -5x2 = -14 Solving for variable 'x'. Reorder the terms: -927 + 14 + 4x + -5x2 = -14 + 14 Combine like terms: -927 + 14 = -913 -913 + 4x + -5x2 = -14 + 14 Combine like terms: -14 + 14 = 0 -913 + 4x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 182.6 + -0.8x + x2 = 0 Move the constant term to the right: Add '-182.6' to each side of the equation. 182.6 + -0.8x + -182.6 + x2 = 0 + -182.6 Reorder the terms: 182.6 + -182.6 + -0.8x + x2 = 0 + -182.6 Combine like terms: 182.6 + -182.6 = 0.0 0.0 + -0.8x + x2 = 0 + -182.6 -0.8x + x2 = 0 + -182.6 Combine like terms: 0 + -182.6 = -182.6 -0.8x + x2 = -182.6 The x term is -0.8x. Take half its coefficient (-0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. -0.8x + 0.16 + x2 = -182.6 + 0.16 Reorder the terms: 0.16 + -0.8x + x2 = -182.6 + 0.16 Combine like terms: -182.6 + 0.16 = -182.44 0.16 + -0.8x + x2 = -182.44 Factor a perfect square on the left side: (x + -0.4)(x + -0.4) = -182.44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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