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Simplifying 3x2 = -77 + 18x Solving 3x2 = -77 + 18x Solving for variable 'x'. Reorder the terms: 77 + -18x + 3x2 = -77 + 18x + 77 + -18x Reorder the terms: 77 + -18x + 3x2 = -77 + 77 + 18x + -18x Combine like terms: -77 + 77 = 0 77 + -18x + 3x2 = 0 + 18x + -18x 77 + -18x + 3x2 = 18x + -18x Combine like terms: 18x + -18x = 0 77 + -18x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 25.66666667 + -6x + x2 = 0 Move the constant term to the right: Add '-25.66666667' to each side of the equation. 25.66666667 + -6x + -25.66666667 + x2 = 0 + -25.66666667 Reorder the terms: 25.66666667 + -25.66666667 + -6x + x2 = 0 + -25.66666667 Combine like terms: 25.66666667 + -25.66666667 = 0.00000000 0.00000000 + -6x + x2 = 0 + -25.66666667 -6x + x2 = 0 + -25.66666667 Combine like terms: 0 + -25.66666667 = -25.66666667 -6x + x2 = -25.66666667 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 = -25.66666667 + 9 Reorder the terms: 9 + -6x + x2 = -25.66666667 + 9 Combine like terms: -25.66666667 + 9 = -16.66666667 9 + -6x + x2 = -16.66666667 Factor a perfect square on the left side: (x + -3)(x + -3) = -16.66666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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