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Simplifying (2x + 1) * x(2x + 3) + 4(2x + 1) = 135 Reorder the terms: (1 + 2x) * x(2x + 3) + 4(2x + 1) = 135 Reorder the terms: (1 + 2x) * x(3 + 2x) + 4(2x + 1) = 135 Reorder the terms for easier multiplication: x(1 + 2x)(3 + 2x) + 4(2x + 1) = 135 Multiply (1 + 2x) * (3 + 2x) x(1(3 + 2x) + 2x * (3 + 2x)) + 4(2x + 1) = 135 x((3 * 1 + 2x * 1) + 2x * (3 + 2x)) + 4(2x + 1) = 135 x((3 + 2x) + 2x * (3 + 2x)) + 4(2x + 1) = 135 x(3 + 2x + (3 * 2x + 2x * 2x)) + 4(2x + 1) = 135 x(3 + 2x + (6x + 4x2)) + 4(2x + 1) = 135 Combine like terms: 2x + 6x = 8x x(3 + 8x + 4x2) + 4(2x + 1) = 135 (3 * x + 8x * x + 4x2 * x) + 4(2x + 1) = 135 (3x + 8x2 + 4x3) + 4(2x + 1) = 135 Reorder the terms: 3x + 8x2 + 4x3 + 4(1 + 2x) = 135 3x + 8x2 + 4x3 + (1 * 4 + 2x * 4) = 135 3x + 8x2 + 4x3 + (4 + 8x) = 135 Reorder the terms: 4 + 3x + 8x + 8x2 + 4x3 = 135 Combine like terms: 3x + 8x = 11x 4 + 11x + 8x2 + 4x3 = 135 Solving 4 + 11x + 8x2 + 4x3 = 135 Solving for variable 'x'. Reorder the terms: 4 + -135 + 11x + 8x2 + 4x3 = 135 + -135 Combine like terms: 4 + -135 = -131 -131 + 11x + 8x2 + 4x3 = 135 + -135 Combine like terms: 135 + -135 = 0 -131 + 11x + 8x2 + 4x3 = 0 The solution to this equation could not be determined.
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