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Simplifying 10x2 + 1 = 6x Reorder the terms: 1 + 10x2 = 6x Solving 1 + 10x2 = 6x Solving for variable 'x'. Reorder the terms: 1 + -6x + 10x2 = 6x + -6x Combine like terms: 6x + -6x = 0 1 + -6x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.1 + -0.6x + x2 = 0 Move the constant term to the right: Add '-0.1' to each side of the equation. 0.1 + -0.6x + -0.1 + x2 = 0 + -0.1 Reorder the terms: 0.1 + -0.1 + -0.6x + x2 = 0 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.6x + x2 = 0 + -0.1 -0.6x + x2 = 0 + -0.1 Combine like terms: 0 + -0.1 = -0.1 -0.6x + x2 = -0.1 The x term is -0.6x. Take half its coefficient (-0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. -0.6x + 0.09 + x2 = -0.1 + 0.09 Reorder the terms: 0.09 + -0.6x + x2 = -0.1 + 0.09 Combine like terms: -0.1 + 0.09 = -0.01 0.09 + -0.6x + x2 = -0.01 Factor a perfect square on the left side: (x + -0.3)(x + -0.3) = -0.01 Can't calculate square root of the right side. The solution to this equation could not be determined.
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