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Simplifying 10x2 = 24x + -21 Reorder the terms: 10x2 = -21 + 24x Solving 10x2 = -21 + 24x Solving for variable 'x'. Reorder the terms: 21 + -24x + 10x2 = -21 + 24x + 21 + -24x Reorder the terms: 21 + -24x + 10x2 = -21 + 21 + 24x + -24x Combine like terms: -21 + 21 = 0 21 + -24x + 10x2 = 0 + 24x + -24x 21 + -24x + 10x2 = 24x + -24x Combine like terms: 24x + -24x = 0 21 + -24x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 2.1 + -2.4x + x2 = 0 Move the constant term to the right: Add '-2.1' to each side of the equation. 2.1 + -2.4x + -2.1 + x2 = 0 + -2.1 Reorder the terms: 2.1 + -2.1 + -2.4x + x2 = 0 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + -2.4x + x2 = 0 + -2.1 -2.4x + x2 = 0 + -2.1 Combine like terms: 0 + -2.1 = -2.1 -2.4x + x2 = -2.1 The x term is -2.4x. Take half its coefficient (-1.2). Square it (1.44) and add it to both sides. Add '1.44' to each side of the equation. -2.4x + 1.44 + x2 = -2.1 + 1.44 Reorder the terms: 1.44 + -2.4x + x2 = -2.1 + 1.44 Combine like terms: -2.1 + 1.44 = -0.66 1.44 + -2.4x + x2 = -0.66 Factor a perfect square on the left side: (x + -1.2)(x + -1.2) = -0.66 Can't calculate square root of the right side. The solution to this equation could not be determined.
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