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Simplifying 5x2 + -12x + 10 = 0 Reorder the terms: 10 + -12x + 5x2 = 0 Solving 10 + -12x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2 + -2.4x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -2.4x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -2.4x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2.4x + x2 = 0 + -2 -2.4x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2.4x + x2 = -2 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 = -2 + 1.44 Reorder the terms: 1.44 + -2.4x + x2 = -2 + 1.44 Combine like terms: -2 + 1.44 = -0.56 1.44 + -2.4x + x2 = -0.56 Factor a perfect square on the left side: (x + -1.2)(x + -1.2) = -0.56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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