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Simplifying 15 + -1x(4x + -5) = 71 Reorder the terms: 15 + -1x(-5 + 4x) = 71 15 + (-5 * -1x + 4x * -1x) = 71 15 + (5x + -4x2) = 71 Solving 15 + 5x + -4x2 = 71 Solving for variable 'x'. Reorder the terms: 15 + -71 + 5x + -4x2 = 71 + -71 Combine like terms: 15 + -71 = -56 -56 + 5x + -4x2 = 71 + -71 Combine like terms: 71 + -71 = 0 -56 + 5x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 14 + -1.25x + x2 = 0 Move the constant term to the right: Add '-14' to each side of the equation. 14 + -1.25x + -14 + x2 = 0 + -14 Reorder the terms: 14 + -14 + -1.25x + x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1.25x + x2 = 0 + -14 -1.25x + x2 = 0 + -14 Combine like terms: 0 + -14 = -14 -1.25x + x2 = -14 The x term is -1.25x. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25x + 0.390625 + x2 = -14 + 0.390625 Reorder the terms: 0.390625 + -1.25x + x2 = -14 + 0.390625 Combine like terms: -14 + 0.390625 = -13.609375 0.390625 + -1.25x + x2 = -13.609375 Factor a perfect square on the left side: (x + -0.625)(x + -0.625) = -13.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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