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Simplifying 18 + x(1 + -4x) = 42 18 + (1 * x + -4x * x) = 42 18 + (1x + -4x2) = 42 Solving 18 + 1x + -4x2 = 42 Solving for variable 'x'. Reorder the terms: 18 + -42 + 1x + -4x2 = 42 + -42 Combine like terms: 18 + -42 = -24 -24 + 1x + -4x2 = 42 + -42 Combine like terms: 42 + -42 = 0 -24 + 1x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 6 + -0.25x + x2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + -0.25x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + -0.25x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -0.25x + x2 = 0 + -6 -0.25x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -0.25x + x2 = -6 The x term is -0.25x. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25x + 0.015625 + x2 = -6 + 0.015625 Reorder the terms: 0.015625 + -0.25x + x2 = -6 + 0.015625 Combine like terms: -6 + 0.015625 = -5.984375 0.015625 + -0.25x + x2 = -5.984375 Factor a perfect square on the left side: (x + -0.125)(x + -0.125) = -5.984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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