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Simplifying 4x + -1x2 = 75 Solving 4x + -1x2 = 75 Solving for variable 'x'. Reorder the terms: -75 + 4x + -1x2 = 75 + -75 Combine like terms: 75 + -75 = 0 -75 + 4x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 75 + -4x + x2 = 0 Move the constant term to the right: Add '-75' to each side of the equation. 75 + -4x + -75 + x2 = 0 + -75 Reorder the terms: 75 + -75 + -4x + x2 = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -4x + x2 = 0 + -75 -4x + x2 = 0 + -75 Combine like terms: 0 + -75 = -75 -4x + x2 = -75 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -75 + 4 Reorder the terms: 4 + -4x + x2 = -75 + 4 Combine like terms: -75 + 4 = -71 4 + -4x + x2 = -71 Factor a perfect square on the left side: (x + -2)(x + -2) = -71 Can't calculate square root of the right side. The solution to this equation could not be determined.
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