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Simplifying 3x + -10x2 = 12 Solving 3x + -10x2 = 12 Solving for variable 'x'. Reorder the terms: -12 + 3x + -10x2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 3x + -10x2 = 0 Begin completing the square. Divide all terms by -10 the coefficient of the squared term: Divide each side by '-10'. 1.2 + -0.3x + x2 = 0 Move the constant term to the right: Add '-1.2' to each side of the equation. 1.2 + -0.3x + -1.2 + x2 = 0 + -1.2 Reorder the terms: 1.2 + -1.2 + -0.3x + x2 = 0 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -0.3x + x2 = 0 + -1.2 -0.3x + x2 = 0 + -1.2 Combine like terms: 0 + -1.2 = -1.2 -0.3x + x2 = -1.2 The x term is -0.3x. Take half its coefficient (-0.15). Square it (0.0225) and add it to both sides. Add '0.0225' to each side of the equation. -0.3x + 0.0225 + x2 = -1.2 + 0.0225 Reorder the terms: 0.0225 + -0.3x + x2 = -1.2 + 0.0225 Combine like terms: -1.2 + 0.0225 = -1.1775 0.0225 + -0.3x + x2 = -1.1775 Factor a perfect square on the left side: (x + -0.15)(x + -0.15) = -1.1775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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