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Simplifying 4(3x + -4) = x(x + 6) Reorder the terms: 4(-4 + 3x) = x(x + 6) (-4 * 4 + 3x * 4) = x(x + 6) (-16 + 12x) = x(x + 6) Reorder the terms: -16 + 12x = x(6 + x) -16 + 12x = (6 * x + x * x) -16 + 12x = (6x + x2) Solving -16 + 12x = 6x + x2 Solving for variable 'x'. Combine like terms: 12x + -6x = 6x -16 + 6x + -1x2 = 6x + x2 + -6x + -1x2 Reorder the terms: -16 + 6x + -1x2 = 6x + -6x + x2 + -1x2 Combine like terms: 6x + -6x = 0 -16 + 6x + -1x2 = 0 + x2 + -1x2 -16 + 6x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -16 + 6x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 16 + -6x + x2 = 0 Move the constant term to the right: Add '-16' to each side of the equation. 16 + -6x + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + -6x + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -6x + x2 = 0 + -16 -6x + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 -6x + x2 = -16 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 = -16 + 9 Reorder the terms: 9 + -6x + x2 = -16 + 9 Combine like terms: -16 + 9 = -7 9 + -6x + x2 = -7 Factor a perfect square on the left side: (x + -3)(x + -3) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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