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Simplifying 28 = x(9 + -4x) 28 = (9 * x + -4x * x) 28 = (9x + -4x2) Solving 28 = 9x + -4x2 Solving for variable 'x'. Reorder the terms: 28 + -9x + 4x2 = 9x + -9x + -4x2 + 4x2 Combine like terms: 9x + -9x = 0 28 + -9x + 4x2 = 0 + -4x2 + 4x2 28 + -9x + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 28 + -9x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 7 + -2.25x + x2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + -2.25x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + -2.25x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2.25x + x2 = 0 + -7 -2.25x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -2.25x + x2 = -7 The x term is -2.25x. Take half its coefficient (-1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. -2.25x + 1.265625 + x2 = -7 + 1.265625 Reorder the terms: 1.265625 + -2.25x + x2 = -7 + 1.265625 Combine like terms: -7 + 1.265625 = -5.734375 1.265625 + -2.25x + x2 = -5.734375 Factor a perfect square on the left side: (x + -1.125)(x + -1.125) = -5.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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