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Simplifying 10x2 + -24x + 35 = 0 Reorder the terms: 35 + -24x + 10x2 = 0 Solving 35 + -24x + 10x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 3.5 + -2.4x + x2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + -2.4x + -3.5 + x2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + -2.4x + x2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -2.4x + x2 = 0 + -3.5 -2.4x + x2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 -2.4x + x2 = -3.5 The x term is -2.4x. Take half its coefficient (-1.2). Square it (1.44) and add it to both sides. Add '1.44' to each side of the equation. -2.4x + 1.44 + x2 = -3.5 + 1.44 Reorder the terms: 1.44 + -2.4x + x2 = -3.5 + 1.44 Combine like terms: -3.5 + 1.44 = -2.06 1.44 + -2.4x + x2 = -2.06 Factor a perfect square on the left side: (x + -1.2)(x + -1.2) = -2.06 Can't calculate square root of the right side. The solution to this equation could not be determined.
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