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Simplifying 32x2 + 16x + 9 = 4 Reorder the terms: 9 + 16x + 32x2 = 4 Solving 9 + 16x + 32x2 = 4 Solving for variable 'x'. Reorder the terms: 9 + -4 + 16x + 32x2 = 4 + -4 Combine like terms: 9 + -4 = 5 5 + 16x + 32x2 = 4 + -4 Combine like terms: 4 + -4 = 0 5 + 16x + 32x2 = 0 Begin completing the square. Divide all terms by 32 the coefficient of the squared term: Divide each side by '32'. 0.15625 + 0.5x + x2 = 0 Move the constant term to the right: Add '-0.15625' to each side of the equation. 0.15625 + 0.5x + -0.15625 + x2 = 0 + -0.15625 Reorder the terms: 0.15625 + -0.15625 + 0.5x + x2 = 0 + -0.15625 Combine like terms: 0.15625 + -0.15625 = 0.00000 0.00000 + 0.5x + x2 = 0 + -0.15625 0.5x + x2 = 0 + -0.15625 Combine like terms: 0 + -0.15625 = -0.15625 0.5x + x2 = -0.15625 The x term is 0.5x. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5x + 0.0625 + x2 = -0.15625 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = -0.15625 + 0.0625 Combine like terms: -0.15625 + 0.0625 = -0.09375 0.0625 + 0.5x + x2 = -0.09375 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = -0.09375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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