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Simplifying 6x + 23 = 10x2 + 26 Reorder the terms: 23 + 6x = 10x2 + 26 Reorder the terms: 23 + 6x = 26 + 10x2 Solving 23 + 6x = 26 + 10x2 Solving for variable 'x'. Reorder the terms: 23 + -26 + 6x + -10x2 = 26 + 10x2 + -26 + -10x2 Combine like terms: 23 + -26 = -3 -3 + 6x + -10x2 = 26 + 10x2 + -26 + -10x2 Reorder the terms: -3 + 6x + -10x2 = 26 + -26 + 10x2 + -10x2 Combine like terms: 26 + -26 = 0 -3 + 6x + -10x2 = 0 + 10x2 + -10x2 -3 + 6x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 -3 + 6x + -10x2 = 0 Begin completing the square. Divide all terms by -10 the coefficient of the squared term: Divide each side by '-10'. 0.3 + -0.6x + x2 = 0 Move the constant term to the right: Add '-0.3' to each side of the equation. 0.3 + -0.6x + -0.3 + x2 = 0 + -0.3 Reorder the terms: 0.3 + -0.3 + -0.6x + x2 = 0 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -0.6x + x2 = 0 + -0.3 -0.6x + x2 = 0 + -0.3 Combine like terms: 0 + -0.3 = -0.3 -0.6x + x2 = -0.3 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 = -0.3 + 0.09 Reorder the terms: 0.09 + -0.6x + x2 = -0.3 + 0.09 Combine like terms: -0.3 + 0.09 = -0.21 0.09 + -0.6x + x2 = -0.21 Factor a perfect square on the left side: (x + -0.3)(x + -0.3) = -0.21 Can't calculate square root of the right side. The solution to this equation could not be determined.
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