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Simplifying -4x2 + 24x + -63 = 0 Reorder the terms: -63 + 24x + -4x2 = 0 Solving -63 + 24x + -4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 15.75 + -6x + x2 = 0 Move the constant term to the right: Add '-15.75' to each side of the equation. 15.75 + -6x + -15.75 + x2 = 0 + -15.75 Reorder the terms: 15.75 + -15.75 + -6x + x2 = 0 + -15.75 Combine like terms: 15.75 + -15.75 = 0.00 0.00 + -6x + x2 = 0 + -15.75 -6x + x2 = 0 + -15.75 Combine like terms: 0 + -15.75 = -15.75 -6x + x2 = -15.75 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -15.75 + 9 Reorder the terms: 9 + -6x + x2 = -15.75 + 9 Combine like terms: -15.75 + 9 = -6.75 9 + -6x + x2 = -6.75 Factor a perfect square on the left side: (x + -3)(x + -3) = -6.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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