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Simplifying (x2 + 3)(5) + (5x + -4)(2x) = 0 Reorder the terms: (3 + x2)(5) + (5x + -4)(2x) = 0 Reorder the terms for easier multiplication: 5(3 + x2) + (5x + -4)(2x) = 0 (3 * 5 + x2 * 5) + (5x + -4)(2x) = 0 (15 + 5x2) + (5x + -4)(2x) = 0 Reorder the terms: 15 + 5x2 + (-4 + 5x)(2x) = 0 Remove parenthesis around (2x) 15 + 5x2 + (-4 + 5x) * 2x = 0 Reorder the terms for easier multiplication: 15 + 5x2 + 2x(-4 + 5x) = 0 15 + 5x2 + (-4 * 2x + 5x * 2x) = 0 15 + 5x2 + (-8x + 10x2) = 0 Reorder the terms: 15 + -8x + 5x2 + 10x2 = 0 Combine like terms: 5x2 + 10x2 = 15x2 15 + -8x + 15x2 = 0 Solving 15 + -8x + 15x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 1 + -0.5333333333x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.5333333333x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.5333333333x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.5333333333x + x2 = 0 + -1 -0.5333333333x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.5333333333x + x2 = -1 The x term is -0.5333333333x. Take half its coefficient (-0.2666666667). Square it (0.07111111113) and add it to both sides. Add '0.07111111113' to each side of the equation. -0.5333333333x + 0.07111111113 + x2 = -1 + 0.07111111113 Reorder the terms: 0.07111111113 + -0.5333333333x + x2 = -1 + 0.07111111113 Combine like terms: -1 + 0.07111111113 = -0.92888888887 0.07111111113 + -0.5333333333x + x2 = -0.92888888887 Factor a perfect square on the left side: (x + -0.2666666667)(x + -0.2666666667) = -0.92888888887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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