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Simplifying [(x + -2) * x(x + -2)] + -1(x + -1)(3 + -2x) = 3(x + 3)(x + -3) + 25 Reorder the terms: [(-2 + x) * x(x + -2)] + -1(x + -1)(3 + -2x) = 3(x + 3)(x + -3) + 25 Reorder the terms: [(-2 + x) * x(-2 + x)] + -1(x + -1)(3 + -2x) = 3(x + 3)(x + -3) + 25 Reorder the terms for easier multiplication: [x(-2 + x)(-2 + x)] + -1(x + -1)(3 + -2x) = 3(x + 3)(x + -3) + 25 Multiply (-2 + x) * (-2 + x) [x(-2(-2 + x) + x(-2 + x))] + -1(x + -1)(3 + -2x) = 3(x + 3)(x + -3) + 25 [x((-2 * -2 + x * -2) + x(-2 + x))] + -1(x + -1)(3 + -2x) = 3(x + 3)(x + -3) + 25 [x((4 + -2x) + x(-2 + x))] + -1(x + -1)(3 + -2x) = 3(x + 3)(x + -3) + 25 [x(4 + -2x + (-2 * x + x * x))] + -1(x + -1)(3 + -2x) = 3(x + 3)(x + -3) + 25 [x(4 + -2x + (-2x + x2))] + -1(x + -1)(3 + -2x) = 3(x + 3)(x + -3) + 25 Combine like terms: -2x + -2x = -4x [x(4 + -4x + x2)] + -1(x + -1)(3 + -2x) = 3(x + 3)(x + -3) + 25 [(4 * x + -4x * x + x2 * x)] + -1(x + -1)(3 + -2x) = 3(x + 3)(x + -3) + 25 [(4x + -4x2 + x3)] + -1(x + -1)(3 + -2x) = 3(x + 3)(x + -3) + 25 [4x + -4x2 + x3] + -1(x + -1)(3 + -2x) = 3(x + 3)(x + -3) + 25 Remove brackets around [4x + -4x2 + x3] 4x + -4x2 + x3 + -1(x + -1)(3 + -2x) = 3(x + 3)(x + -3) + 25 Reorder the terms: 4x + -4x2 + x3 + -1(-1 + x)(3 + -2x) = 3(x + 3)(x + -3) + 25 Multiply (-1 + x) * (3 + -2x) 4x + -4x2 + x3 + -1(-1(3 + -2x) + x(3 + -2x)) = 3(x + 3)(x + -3) + 25 4x + -4x2 + x3 + -1((3 * -1 + -2x * -1) + x(3 + -2x)) = 3(x + 3)(x + -3) + 25 4x + -4x2 + x3 + -1((-3 + 2x) + x(3 + -2x)) = 3(x + 3)(x + -3) + 25 4x + -4x2 + x3 + -1(-3 + 2x + (3 * x + -2x * x)) = 3(x + 3)(x + -3) + 25 4x + -4x2 + x3 + -1(-3 + 2x + (3x + -2x2)) = 3(x + 3)(x + -3) + 25 Combine like terms: 2x + 3x = 5x 4x + -4x2 + x3 + -1(-3 + 5x + -2x2) = 3(x + 3)(x + -3) + 25 4x + -4x2 + x3 + (-3 * -1 + 5x * -1 + -2x2 * -1) = 3(x + 3)(x + -3) + 25 4x + -4x2 + x3 + (3 + -5x + 2x2) = 3(x + 3)(x + -3) + 25 Reorder the terms: 3 + 4x + -5x + -4x2 + 2x2 + x3 = 3(x + 3)(x + -3) + 25 Combine like terms: 4x + -5x = -1x 3 + -1x + -4x2 + 2x2 + x3 = 3(x + 3)(x + -3) + 25 Combine like terms: -4x2 + 2x2 = -2x2 3 + -1x + -2x2 + x3 = 3(x + 3)(x + -3) + 25 Reorder the terms: 3 + -1x + -2x2 + x3 = 3(3 + x)(x + -3) + 25 Reorder the terms: 3 + -1x + -2x2 + x3 = 3(3 + x)(-3 + x) + 25 Multiply (3 + x) * (-3 + x) 3 + -1x + -2x2 + x3 = 3(3(-3 + x) + x(-3 + x)) + 25 3 + -1x + -2x2 + x3 = 3((-3 * 3 + x * 3) + x(-3 + x)) + 25 3 + -1x + -2x2 + x3 = 3((-9 + 3x) + x(-3 + x)) + 25 3 + -1x + -2x2 + x3 = 3(-9 + 3x + (-3 * x + x * x)) + 25 3 + -1x + -2x2 + x3 = 3(-9 + 3x + (-3x + x2)) + 25 Combine like terms: 3x + -3x = 0 3 + -1x + -2x2 + x3 = 3(-9 + 0 + x2) + 25 3 + -1x + -2x2 + x3 = 3(-9 + x2) + 25 3 + -1x + -2x2 + x3 = (-9 * 3 + x2 * 3) + 25 3 + -1x + -2x2 + x3 = (-27 + 3x2) + 25 Reorder the terms: 3 + -1x + -2x2 + x3 = -27 + 25 + 3x2 Combine like terms: -27 + 25 = -2 3 + -1x + -2x2 + x3 = -2 + 3x2 Solving 3 + -1x + -2x2 + x3 = -2 + 3x2 Solving for variable 'x'. Reorder the terms: 3 + 2 + -1x + -2x2 + -3x2 + x3 = -2 + 3x2 + 2 + -3x2 Combine like terms: 3 + 2 = 5 5 + -1x + -2x2 + -3x2 + x3 = -2 + 3x2 + 2 + -3x2 Combine like terms: -2x2 + -3x2 = -5x2 5 + -1x + -5x2 + x3 = -2 + 3x2 + 2 + -3x2 Reorder the terms: 5 + -1x + -5x2 + x3 = -2 + 2 + 3x2 + -3x2 Combine like terms: -2 + 2 = 0 5 + -1x + -5x2 + x3 = 0 + 3x2 + -3x2 5 + -1x + -5x2 + x3 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 5 + -1x + -5x2 + x3 = 0 The solution to this equation could not be determined.
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