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Simplifying 9x + -4x(x + -3) = 72 Reorder the terms: 9x + -4x(-3 + x) = 72 9x + (-3 * -4x + x * -4x) = 72 9x + (12x + -4x2) = 72 Combine like terms: 9x + 12x = 21x 21x + -4x2 = 72 Solving 21x + -4x2 = 72 Solving for variable 'x'. Reorder the terms: -72 + 21x + -4x2 = 72 + -72 Combine like terms: 72 + -72 = 0 -72 + 21x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 18 + -5.25x + x2 = 0 Move the constant term to the right: Add '-18' to each side of the equation. 18 + -5.25x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + -5.25x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -5.25x + x2 = 0 + -18 -5.25x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 -5.25x + x2 = -18 The x term is -5.25x. Take half its coefficient (-2.625). Square it (6.890625) and add it to both sides. Add '6.890625' to each side of the equation. -5.25x + 6.890625 + x2 = -18 + 6.890625 Reorder the terms: 6.890625 + -5.25x + x2 = -18 + 6.890625 Combine like terms: -18 + 6.890625 = -11.109375 6.890625 + -5.25x + x2 = -11.109375 Factor a perfect square on the left side: (x + -2.625)(x + -2.625) = -11.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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