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Simplifying 10x2 = -12x + -7 Reorder the terms: 10x2 = -7 + -12x Solving 10x2 = -7 + -12x Solving for variable 'x'. Reorder the terms: 7 + 12x + 10x2 = -7 + -12x + 7 + 12x Reorder the terms: 7 + 12x + 10x2 = -7 + 7 + -12x + 12x Combine like terms: -7 + 7 = 0 7 + 12x + 10x2 = 0 + -12x + 12x 7 + 12x + 10x2 = -12x + 12x Combine like terms: -12x + 12x = 0 7 + 12x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.7 + 1.2x + x2 = 0 Move the constant term to the right: Add '-0.7' to each side of the equation. 0.7 + 1.2x + -0.7 + x2 = 0 + -0.7 Reorder the terms: 0.7 + -0.7 + 1.2x + x2 = 0 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 1.2x + x2 = 0 + -0.7 1.2x + x2 = 0 + -0.7 Combine like terms: 0 + -0.7 = -0.7 1.2x + x2 = -0.7 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 = -0.7 + 0.36 Reorder the terms: 0.36 + 1.2x + x2 = -0.7 + 0.36 Combine like terms: -0.7 + 0.36 = -0.34 0.36 + 1.2x + x2 = -0.34 Factor a perfect square on the left side: (x + 0.6)(x + 0.6) = -0.34 Can't calculate square root of the right side. The solution to this equation could not be determined.
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