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Simplifying (4x)(4x) + -13x + 6 = -8x + 5 Remove parenthesis around (4x) 4x(4x) + -13x + 6 = -8x + 5 Remove parenthesis around (4x) 4x * 4x + -13x + 6 = -8x + 5 Reorder the terms for easier multiplication: 4 * 4x * x + -13x + 6 = -8x + 5 Multiply 4 * 4 16x * x + -13x + 6 = -8x + 5 Multiply x * x 16x2 + -13x + 6 = -8x + 5 Reorder the terms: 6 + -13x + 16x2 = -8x + 5 Reorder the terms: 6 + -13x + 16x2 = 5 + -8x Solving 6 + -13x + 16x2 = 5 + -8x Solving for variable 'x'. Reorder the terms: 6 + -5 + -13x + 8x + 16x2 = 5 + -8x + -5 + 8x Combine like terms: 6 + -5 = 1 1 + -13x + 8x + 16x2 = 5 + -8x + -5 + 8x Combine like terms: -13x + 8x = -5x 1 + -5x + 16x2 = 5 + -8x + -5 + 8x Reorder the terms: 1 + -5x + 16x2 = 5 + -5 + -8x + 8x Combine like terms: 5 + -5 = 0 1 + -5x + 16x2 = 0 + -8x + 8x 1 + -5x + 16x2 = -8x + 8x Combine like terms: -8x + 8x = 0 1 + -5x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.0625 + -0.3125x + x2 = 0 Move the constant term to the right: Add '-0.0625' to each side of the equation. 0.0625 + -0.3125x + -0.0625 + x2 = 0 + -0.0625 Reorder the terms: 0.0625 + -0.0625 + -0.3125x + x2 = 0 + -0.0625 Combine like terms: 0.0625 + -0.0625 = 0.0000 0.0000 + -0.3125x + x2 = 0 + -0.0625 -0.3125x + x2 = 0 + -0.0625 Combine like terms: 0 + -0.0625 = -0.0625 -0.3125x + x2 = -0.0625 The x term is -0.3125x. Take half its coefficient (-0.15625). Square it (0.0244140625) and add it to both sides. Add '0.0244140625' to each side of the equation. -0.3125x + 0.0244140625 + x2 = -0.0625 + 0.0244140625 Reorder the terms: 0.0244140625 + -0.3125x + x2 = -0.0625 + 0.0244140625 Combine like terms: -0.0625 + 0.0244140625 = -0.0380859375 0.0244140625 + -0.3125x + x2 = -0.0380859375 Factor a perfect square on the left side: (x + -0.15625)(x + -0.15625) = -0.0380859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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