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Simplifying ((3x * 3x) + -4x + 5) + ((-2x * -2x) + 3x) = 0 Reorder the terms for easier multiplication: ((3 * 3x * x) + -4x + 5) + ((-2x * -2x) + 3x) = 0 Multiply 3 * 3 ((9x * x) + -4x + 5) + ((-2x * -2x) + 3x) = 0 Multiply x * x ((9x2) + -4x + 5) + ((-2x * -2x) + 3x) = 0 Reorder the terms: (5 + -4x + (9x2)) + ((-2x * -2x) + 3x) = 0 Remove parenthesis around (5 + -4x + (9x2)) 5 + -4x + (9x2) + ((-2x * -2x) + 3x) = 0 Reorder the terms for easier multiplication: 5 + -4x + (9x2) + ((-2 * -2x * x) + 3x) = 0 Multiply -2 * -2 5 + -4x + (9x2) + ((4x * x) + 3x) = 0 Multiply x * x 5 + -4x + (9x2) + ((4x2) + 3x) = 0 Reorder the terms: 5 + -4x + (9x2) + (3x + (4x2)) = 0 Remove parenthesis around (3x + (4x2)) 5 + -4x + (9x2) + 3x + (4x2) = 0 Reorder the terms: 5 + -4x + 3x + (9x2) + (4x2) = 0 Combine like terms: -4x + 3x = -1x 5 + -1x + (9x2) + (4x2) = 0 Combine like terms: (9x2) + (4x2) = 13x2 5 + -1x + 13x2 = 0 Solving 5 + -1x + 13x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 0.3846153846 + -0.07692307692x + x2 = 0 Move the constant term to the right: Add '-0.3846153846' to each side of the equation. 0.3846153846 + -0.07692307692x + -0.3846153846 + x2 = 0 + -0.3846153846 Reorder the terms: 0.3846153846 + -0.3846153846 + -0.07692307692x + x2 = 0 + -0.3846153846 Combine like terms: 0.3846153846 + -0.3846153846 = 0.0000000000 0.0000000000 + -0.07692307692x + x2 = 0 + -0.3846153846 -0.07692307692x + x2 = 0 + -0.3846153846 Combine like terms: 0 + -0.3846153846 = -0.3846153846 -0.07692307692x + x2 = -0.3846153846 The x term is -0.07692307692x. Take half its coefficient (-0.03846153846). Square it (0.001479289941) and add it to both sides. Add '0.001479289941' to each side of the equation. -0.07692307692x + 0.001479289941 + x2 = -0.3846153846 + 0.001479289941 Reorder the terms: 0.001479289941 + -0.07692307692x + x2 = -0.3846153846 + 0.001479289941 Combine like terms: -0.3846153846 + 0.001479289941 = -0.383136094659 0.001479289941 + -0.07692307692x + x2 = -0.383136094659 Factor a perfect square on the left side: (x + -0.03846153846)(x + -0.03846153846) = -0.383136094659 Can't calculate square root of the right side. The solution to this equation could not be determined.
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