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Simplifying 35x2 + -7x + 24x + 24 = 0 Reorder the terms: 24 + -7x + 24x + 35x2 = 0 Combine like terms: -7x + 24x = 17x 24 + 17x + 35x2 = 0 Solving 24 + 17x + 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'. 0.6857142857 + 0.4857142857x + x2 = 0 Move the constant term to the right: Add '-0.6857142857' to each side of the equation. 0.6857142857 + 0.4857142857x + -0.6857142857 + x2 = 0 + -0.6857142857 Reorder the terms: 0.6857142857 + -0.6857142857 + 0.4857142857x + x2 = 0 + -0.6857142857 Combine like terms: 0.6857142857 + -0.6857142857 = 0.0000000000 0.0000000000 + 0.4857142857x + x2 = 0 + -0.6857142857 0.4857142857x + x2 = 0 + -0.6857142857 Combine like terms: 0 + -0.6857142857 = -0.6857142857 0.4857142857x + x2 = -0.6857142857 The x term is 0.4857142857x. Take half its coefficient (0.2428571429). Square it (0.05897959186) and add it to both sides. Add '0.05897959186' to each side of the equation. 0.4857142857x + 0.05897959186 + x2 = -0.6857142857 + 0.05897959186 Reorder the terms: 0.05897959186 + 0.4857142857x + x2 = -0.6857142857 + 0.05897959186 Combine like terms: -0.6857142857 + 0.05897959186 = -0.62673469384 0.05897959186 + 0.4857142857x + x2 = -0.62673469384 Factor a perfect square on the left side: (x + 0.2428571429)(x + 0.2428571429) = -0.62673469384 Can't calculate square root of the right side. The solution to this equation could not be determined.
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