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Simplifying 4x2 = 7x + -52 Reorder the terms: 4x2 = -52 + 7x Solving 4x2 = -52 + 7x Solving for variable 'x'. Reorder the terms: 52 + -7x + 4x2 = -52 + 7x + 52 + -7x Reorder the terms: 52 + -7x + 4x2 = -52 + 52 + 7x + -7x Combine like terms: -52 + 52 = 0 52 + -7x + 4x2 = 0 + 7x + -7x 52 + -7x + 4x2 = 7x + -7x Combine like terms: 7x + -7x = 0 52 + -7x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 13 + -1.75x + x2 = 0 Move the constant term to the right: Add '-13' to each side of the equation. 13 + -1.75x + -13 + x2 = 0 + -13 Reorder the terms: 13 + -13 + -1.75x + x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1.75x + x2 = 0 + -13 -1.75x + x2 = 0 + -13 Combine like terms: 0 + -13 = -13 -1.75x + x2 = -13 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 = -13 + 0.765625 Reorder the terms: 0.765625 + -1.75x + x2 = -13 + 0.765625 Combine like terms: -13 + 0.765625 = -12.234375 0.765625 + -1.75x + x2 = -12.234375 Factor a perfect square on the left side: (x + -0.875)(x + -0.875) = -12.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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