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Simplifying (3x2 + 2)(2) + (2x + -3)(3x) = 0 Reorder the terms: (2 + 3x2)(2) + (2x + -3)(3x) = 0 Reorder the terms for easier multiplication: 2(2 + 3x2) + (2x + -3)(3x) = 0 (2 * 2 + 3x2 * 2) + (2x + -3)(3x) = 0 (4 + 6x2) + (2x + -3)(3x) = 0 Reorder the terms: 4 + 6x2 + (-3 + 2x)(3x) = 0 Remove parenthesis around (3x) 4 + 6x2 + (-3 + 2x) * 3x = 0 Reorder the terms for easier multiplication: 4 + 6x2 + 3x(-3 + 2x) = 0 4 + 6x2 + (-3 * 3x + 2x * 3x) = 0 4 + 6x2 + (-9x + 6x2) = 0 Reorder the terms: 4 + -9x + 6x2 + 6x2 = 0 Combine like terms: 6x2 + 6x2 = 12x2 4 + -9x + 12x2 = 0 Solving 4 + -9x + 12x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.3333333333 + -0.75x + x2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + -0.75x + -0.3333333333 + x2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + -0.75x + x2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + -0.75x + x2 = 0 + -0.3333333333 -0.75x + x2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 -0.75x + x2 = -0.3333333333 The x term is -0.75x. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75x + 0.140625 + x2 = -0.3333333333 + 0.140625 Reorder the terms: 0.140625 + -0.75x + x2 = -0.3333333333 + 0.140625 Combine like terms: -0.3333333333 + 0.140625 = -0.1927083333 0.140625 + -0.75x + x2 = -0.1927083333 Factor a perfect square on the left side: (x + -0.375)(x + -0.375) = -0.1927083333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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