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Simplifying 7 + 3x(6 + -1x) = 54 7 + (6 * 3x + -1x * 3x) = 54 7 + (18x + -3x2) = 54 Solving 7 + 18x + -3x2 = 54 Solving for variable 'x'. Reorder the terms: 7 + -54 + 18x + -3x2 = 54 + -54 Combine like terms: 7 + -54 = -47 -47 + 18x + -3x2 = 54 + -54 Combine like terms: 54 + -54 = 0 -47 + 18x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 15.66666667 + -6x + x2 = 0 Move the constant term to the right: Add '-15.66666667' to each side of the equation. 15.66666667 + -6x + -15.66666667 + x2 = 0 + -15.66666667 Reorder the terms: 15.66666667 + -15.66666667 + -6x + x2 = 0 + -15.66666667 Combine like terms: 15.66666667 + -15.66666667 = 0.00000000 0.00000000 + -6x + x2 = 0 + -15.66666667 -6x + x2 = 0 + -15.66666667 Combine like terms: 0 + -15.66666667 = -15.66666667 -6x + x2 = -15.66666667 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 = -15.66666667 + 9 Reorder the terms: 9 + -6x + x2 = -15.66666667 + 9 Combine like terms: -15.66666667 + 9 = -6.66666667 9 + -6x + x2 = -6.66666667 Factor a perfect square on the left side: (x + -3)(x + -3) = -6.66666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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