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Simplifying 45x2 + -24x + 32 = 0 Reorder the terms: 32 + -24x + 45x2 = 0 Solving 32 + -24x + 45x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 45 the coefficient of the squared term: Divide each side by '45'. 0.7111111111 + -0.5333333333x + x2 = 0 Move the constant term to the right: Add '-0.7111111111' to each side of the equation. 0.7111111111 + -0.5333333333x + -0.7111111111 + x2 = 0 + -0.7111111111 Reorder the terms: 0.7111111111 + -0.7111111111 + -0.5333333333x + x2 = 0 + -0.7111111111 Combine like terms: 0.7111111111 + -0.7111111111 = 0.0000000000 0.0000000000 + -0.5333333333x + x2 = 0 + -0.7111111111 -0.5333333333x + x2 = 0 + -0.7111111111 Combine like terms: 0 + -0.7111111111 = -0.7111111111 -0.5333333333x + x2 = -0.7111111111 The x term is -0.5333333333x. Take half its coefficient (-0.2666666667). Square it (0.07111111113) and add it to both sides. Add '0.07111111113' to each side of the equation. -0.5333333333x + 0.07111111113 + x2 = -0.7111111111 + 0.07111111113 Reorder the terms: 0.07111111113 + -0.5333333333x + x2 = -0.7111111111 + 0.07111111113 Combine like terms: -0.7111111111 + 0.07111111113 = -0.63999999997 0.07111111113 + -0.5333333333x + x2 = -0.63999999997 Factor a perfect square on the left side: (x + -0.2666666667)(x + -0.2666666667) = -0.63999999997 Can't calculate square root of the right side. The solution to this equation could not be determined.
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