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Simplifying 9X2 + 22X + 16 = 0 Reorder the terms: 16 + 22X + 9X2 = 0 Solving 16 + 22X + 9X2 = 0 Solving for variable 'X'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.777777778 + 2.444444444X + X2 = 0 Move the constant term to the right: Add '-1.777777778' to each side of the equation. 1.777777778 + 2.444444444X + -1.777777778 + X2 = 0 + -1.777777778 Reorder the terms: 1.777777778 + -1.777777778 + 2.444444444X + X2 = 0 + -1.777777778 Combine like terms: 1.777777778 + -1.777777778 = 0.000000000 0.000000000 + 2.444444444X + X2 = 0 + -1.777777778 2.444444444X + X2 = 0 + -1.777777778 Combine like terms: 0 + -1.777777778 = -1.777777778 2.444444444X + X2 = -1.777777778 The X term is 2.444444444X. Take half its coefficient (1.222222222). Square it (1.493827160) and add it to both sides. Add '1.493827160' to each side of the equation. 2.444444444X + 1.493827160 + X2 = -1.777777778 + 1.493827160 Reorder the terms: 1.493827160 + 2.444444444X + X2 = -1.777777778 + 1.493827160 Combine like terms: -1.777777778 + 1.493827160 = -0.283950618 1.493827160 + 2.444444444X + X2 = -0.283950618 Factor a perfect square on the left side: (X + 1.222222222)(X + 1.222222222) = -0.283950618 Can't calculate square root of the right side. The solution to this equation could not be determined.
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