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Simplifying 6x + -2 = 5x2 + 10 Reorder the terms: -2 + 6x = 5x2 + 10 Reorder the terms: -2 + 6x = 10 + 5x2 Solving -2 + 6x = 10 + 5x2 Solving for variable 'x'. Reorder the terms: -2 + -10 + 6x + -5x2 = 10 + 5x2 + -10 + -5x2 Combine like terms: -2 + -10 = -12 -12 + 6x + -5x2 = 10 + 5x2 + -10 + -5x2 Reorder the terms: -12 + 6x + -5x2 = 10 + -10 + 5x2 + -5x2 Combine like terms: 10 + -10 = 0 -12 + 6x + -5x2 = 0 + 5x2 + -5x2 -12 + 6x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -12 + 6x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 2.4 + -1.2x + x2 = 0 Move the constant term to the right: Add '-2.4' to each side of the equation. 2.4 + -1.2x + -2.4 + x2 = 0 + -2.4 Reorder the terms: 2.4 + -2.4 + -1.2x + x2 = 0 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -1.2x + x2 = 0 + -2.4 -1.2x + x2 = 0 + -2.4 Combine like terms: 0 + -2.4 = -2.4 -1.2x + x2 = -2.4 The x term is -1.2x. Take half its coefficient (-0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. -1.2x + 0.36 + x2 = -2.4 + 0.36 Reorder the terms: 0.36 + -1.2x + x2 = -2.4 + 0.36 Combine like terms: -2.4 + 0.36 = -2.04 0.36 + -1.2x + x2 = -2.04 Factor a perfect square on the left side: (x + -0.6)(x + -0.6) = -2.04 Can't calculate square root of the right side. The solution to this equation could not be determined.
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