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Simplifying 0 = 9x2 + -30x + 64 Reorder the terms: 0 = 64 + -30x + 9x2 Solving 0 = 64 + -30x + 9x2 Solving for variable 'x'. Combine like terms: 0 + -64 = -64 -64 + 30x + -9x2 = 64 + -30x + 9x2 + -64 + 30x + -9x2 Reorder the terms: -64 + 30x + -9x2 = 64 + -64 + -30x + 30x + 9x2 + -9x2 Combine like terms: 64 + -64 = 0 -64 + 30x + -9x2 = 0 + -30x + 30x + 9x2 + -9x2 -64 + 30x + -9x2 = -30x + 30x + 9x2 + -9x2 Combine like terms: -30x + 30x = 0 -64 + 30x + -9x2 = 0 + 9x2 + -9x2 -64 + 30x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -64 + 30x + -9x2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 7.111111111 + -3.333333333x + x2 = 0 Move the constant term to the right: Add '-7.111111111' to each side of the equation. 7.111111111 + -3.333333333x + -7.111111111 + x2 = 0 + -7.111111111 Reorder the terms: 7.111111111 + -7.111111111 + -3.333333333x + x2 = 0 + -7.111111111 Combine like terms: 7.111111111 + -7.111111111 = 0.000000000 0.000000000 + -3.333333333x + x2 = 0 + -7.111111111 -3.333333333x + x2 = 0 + -7.111111111 Combine like terms: 0 + -7.111111111 = -7.111111111 -3.333333333x + x2 = -7.111111111 The x term is -3.333333333x. Take half its coefficient (-1.666666667). Square it (2.777777779) and add it to both sides. Add '2.777777779' to each side of the equation. -3.333333333x + 2.777777779 + x2 = -7.111111111 + 2.777777779 Reorder the terms: 2.777777779 + -3.333333333x + x2 = -7.111111111 + 2.777777779 Combine like terms: -7.111111111 + 2.777777779 = -4.333333332 2.777777779 + -3.333333333x + x2 = -4.333333332 Factor a perfect square on the left side: (x + -1.666666667)(x + -1.666666667) = -4.333333332 Can't calculate square root of the right side. The solution to this equation could not be determined.
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