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Simplifying 10x2 = 3(7x + -4) Reorder the terms: 10x2 = 3(-4 + 7x) 10x2 = (-4 * 3 + 7x * 3) 10x2 = (-12 + 21x) Solving 10x2 = -12 + 21x Solving for variable 'x'. Reorder the terms: 12 + -21x + 10x2 = -12 + 21x + 12 + -21x Reorder the terms: 12 + -21x + 10x2 = -12 + 12 + 21x + -21x Combine like terms: -12 + 12 = 0 12 + -21x + 10x2 = 0 + 21x + -21x 12 + -21x + 10x2 = 21x + -21x Combine like terms: 21x + -21x = 0 12 + -21x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 1.2 + -2.1x + x2 = 0 Move the constant term to the right: Add '-1.2' to each side of the equation. 1.2 + -2.1x + -1.2 + x2 = 0 + -1.2 Reorder the terms: 1.2 + -1.2 + -2.1x + x2 = 0 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -2.1x + x2 = 0 + -1.2 -2.1x + x2 = 0 + -1.2 Combine like terms: 0 + -1.2 = -1.2 -2.1x + x2 = -1.2 The x term is -2.1x. Take half its coefficient (-1.05). Square it (1.1025) and add it to both sides. Add '1.1025' to each side of the equation. -2.1x + 1.1025 + x2 = -1.2 + 1.1025 Reorder the terms: 1.1025 + -2.1x + x2 = -1.2 + 1.1025 Combine like terms: -1.2 + 1.1025 = -0.0975 1.1025 + -2.1x + x2 = -0.0975 Factor a perfect square on the left side: (x + -1.05)(x + -1.05) = -0.0975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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