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Simplifying 10x2 + 13 = 2x + 6 Reorder the terms: 13 + 10x2 = 2x + 6 Reorder the terms: 13 + 10x2 = 6 + 2x Solving 13 + 10x2 = 6 + 2x Solving for variable 'x'. Reorder the terms: 13 + -6 + -2x + 10x2 = 6 + 2x + -6 + -2x Combine like terms: 13 + -6 = 7 7 + -2x + 10x2 = 6 + 2x + -6 + -2x Reorder the terms: 7 + -2x + 10x2 = 6 + -6 + 2x + -2x Combine like terms: 6 + -6 = 0 7 + -2x + 10x2 = 0 + 2x + -2x 7 + -2x + 10x2 = 2x + -2x Combine like terms: 2x + -2x = 0 7 + -2x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.7 + -0.2x + x2 = 0 Move the constant term to the right: Add '-0.7' to each side of the equation. 0.7 + -0.2x + -0.7 + x2 = 0 + -0.7 Reorder the terms: 0.7 + -0.7 + -0.2x + x2 = 0 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -0.2x + x2 = 0 + -0.7 -0.2x + x2 = 0 + -0.7 Combine like terms: 0 + -0.7 = -0.7 -0.2x + x2 = -0.7 The x term is -0.2x. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2x + 0.01 + x2 = -0.7 + 0.01 Reorder the terms: 0.01 + -0.2x + x2 = -0.7 + 0.01 Combine like terms: -0.7 + 0.01 = -0.69 0.01 + -0.2x + x2 = -0.69 Factor a perfect square on the left side: (x + -0.1)(x + -0.1) = -0.69 Can't calculate square root of the right side. The solution to this equation could not be determined.
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