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Simplifying 4x * 4x + 49 = 28x Reorder the terms for easier multiplication: 4 * 4x * x + 49 = 28x Multiply 4 * 4 16x * x + 49 = 28x Multiply x * x 16x2 + 49 = 28x Reorder the terms: 49 + 16x2 = 28x Solving 49 + 16x2 = 28x Solving for variable 'x'. Reorder the terms: 49 + -28x + 16x2 = 28x + -28x Combine like terms: 28x + -28x = 0 49 + -28x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 3.0625 + -1.75x + x2 = 0 Move the constant term to the right: Add '-3.0625' to each side of the equation. 3.0625 + -1.75x + -3.0625 + x2 = 0 + -3.0625 Reorder the terms: 3.0625 + -3.0625 + -1.75x + x2 = 0 + -3.0625 Combine like terms: 3.0625 + -3.0625 = 0.0000 0.0000 + -1.75x + x2 = 0 + -3.0625 -1.75x + x2 = 0 + -3.0625 Combine like terms: 0 + -3.0625 = -3.0625 -1.75x + x2 = -3.0625 The x term is -1.75x. Take half its coefficient (-0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. -1.75x + 0.765625 + x2 = -3.0625 + 0.765625 Reorder the terms: 0.765625 + -1.75x + x2 = -3.0625 + 0.765625 Combine like terms: -3.0625 + 0.765625 = -2.296875 0.765625 + -1.75x + x2 = -2.296875 Factor a perfect square on the left side: (x + -0.875)(x + -0.875) = -2.296875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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