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Simplifying 35x2 + 24x + 35 = 0 Reorder the terms: 35 + 24x + 35x2 = 0 Solving 35 + 24x + 35x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 35 the coefficient of the squared term: Divide each side by '35'. 1 + 0.6857142857x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.6857142857x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 0.6857142857x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.6857142857x + x2 = 0 + -1 0.6857142857x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.6857142857x + x2 = -1 The x term is 0.6857142857x. Take half its coefficient (0.3428571429). Square it (0.1175510204) and add it to both sides. Add '0.1175510204' to each side of the equation. 0.6857142857x + 0.1175510204 + x2 = -1 + 0.1175510204 Reorder the terms: 0.1175510204 + 0.6857142857x + x2 = -1 + 0.1175510204 Combine like terms: -1 + 0.1175510204 = -0.8824489796 0.1175510204 + 0.6857142857x + x2 = -0.8824489796 Factor a perfect square on the left side: (x + 0.3428571429)(x + 0.3428571429) = -0.8824489796 Can't calculate square root of the right side. The solution to this equation could not be determined.
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