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Simplifying 4x + 7 = 36x2 + 64 Reorder the terms: 7 + 4x = 36x2 + 64 Reorder the terms: 7 + 4x = 64 + 36x2 Solving 7 + 4x = 64 + 36x2 Solving for variable 'x'. Reorder the terms: 7 + -64 + 4x + -36x2 = 64 + 36x2 + -64 + -36x2 Combine like terms: 7 + -64 = -57 -57 + 4x + -36x2 = 64 + 36x2 + -64 + -36x2 Reorder the terms: -57 + 4x + -36x2 = 64 + -64 + 36x2 + -36x2 Combine like terms: 64 + -64 = 0 -57 + 4x + -36x2 = 0 + 36x2 + -36x2 -57 + 4x + -36x2 = 36x2 + -36x2 Combine like terms: 36x2 + -36x2 = 0 -57 + 4x + -36x2 = 0 Begin completing the square. Divide all terms by -36 the coefficient of the squared term: Divide each side by '-36'. 1.583333333 + -0.1111111111x + x2 = 0 Move the constant term to the right: Add '-1.583333333' to each side of the equation. 1.583333333 + -0.1111111111x + -1.583333333 + x2 = 0 + -1.583333333 Reorder the terms: 1.583333333 + -1.583333333 + -0.1111111111x + x2 = 0 + -1.583333333 Combine like terms: 1.583333333 + -1.583333333 = 0.000000000 0.000000000 + -0.1111111111x + x2 = 0 + -1.583333333 -0.1111111111x + x2 = 0 + -1.583333333 Combine like terms: 0 + -1.583333333 = -1.583333333 -0.1111111111x + x2 = -1.583333333 The x term is -0.1111111111x. Take half its coefficient (-0.05555555555). Square it (0.003086419752) and add it to both sides. Add '0.003086419752' to each side of the equation. -0.1111111111x + 0.003086419752 + x2 = -1.583333333 + 0.003086419752 Reorder the terms: 0.003086419752 + -0.1111111111x + x2 = -1.583333333 + 0.003086419752 Combine like terms: -1.583333333 + 0.003086419752 = -1.580246913248 0.003086419752 + -0.1111111111x + x2 = -1.580246913248 Factor a perfect square on the left side: (x + -0.05555555555)(x + -0.05555555555) = -1.580246913248 Can't calculate square root of the right side. The solution to this equation could not be determined.
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