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Simplifying (2x + -9) + -1(10x2 + -2x + 4) = 0 Reorder the terms: (-9 + 2x) + -1(10x2 + -2x + 4) = 0 Remove parenthesis around (-9 + 2x) -9 + 2x + -1(10x2 + -2x + 4) = 0 Reorder the terms: -9 + 2x + -1(4 + -2x + 10x2) = 0 -9 + 2x + (4 * -1 + -2x * -1 + 10x2 * -1) = 0 -9 + 2x + (-4 + 2x + -10x2) = 0 Reorder the terms: -9 + -4 + 2x + 2x + -10x2 = 0 Combine like terms: -9 + -4 = -13 -13 + 2x + 2x + -10x2 = 0 Combine like terms: 2x + 2x = 4x -13 + 4x + -10x2 = 0 Solving -13 + 4x + -10x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -10 the coefficient of the squared term: Divide each side by '-10'. 1.3 + -0.4x + x2 = 0.0 Move the constant term to the right: Add '-1.3' to each side of the equation. 1.3 + -0.4x + -1.3 + x2 = 0.0 + -1.3 Reorder the terms: 1.3 + -1.3 + -0.4x + x2 = 0.0 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + -0.4x + x2 = 0.0 + -1.3 -0.4x + x2 = 0.0 + -1.3 Combine like terms: 0.0 + -1.3 = -1.3 -0.4x + x2 = -1.3 The x term is -0.4x. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4x + 0.04 + x2 = -1.3 + 0.04 Reorder the terms: 0.04 + -0.4x + x2 = -1.3 + 0.04 Combine like terms: -1.3 + 0.04 = -1.26 0.04 + -0.4x + x2 = -1.26 Factor a perfect square on the left side: (x + -0.2)(x + -0.2) = -1.26 Can't calculate square root of the right side. The solution to this equation could not be determined.
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