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Simplifying 4x2(x + -1) + -1(2x + 1)(2x + 1) = 2 + -5x Reorder the terms: 4x2(-1 + x) + -1(2x + 1)(2x + 1) = 2 + -5x (-1 * 4x2 + x * 4x2) + -1(2x + 1)(2x + 1) = 2 + -5x (-4x2 + 4x3) + -1(2x + 1)(2x + 1) = 2 + -5x Reorder the terms: -4x2 + 4x3 + -1(1 + 2x)(2x + 1) = 2 + -5x Reorder the terms: -4x2 + 4x3 + -1(1 + 2x)(1 + 2x) = 2 + -5x Multiply (1 + 2x) * (1 + 2x) -4x2 + 4x3 + -1(1(1 + 2x) + 2x * (1 + 2x)) = 2 + -5x -4x2 + 4x3 + -1((1 * 1 + 2x * 1) + 2x * (1 + 2x)) = 2 + -5x -4x2 + 4x3 + -1((1 + 2x) + 2x * (1 + 2x)) = 2 + -5x -4x2 + 4x3 + -1(1 + 2x + (1 * 2x + 2x * 2x)) = 2 + -5x -4x2 + 4x3 + -1(1 + 2x + (2x + 4x2)) = 2 + -5x Combine like terms: 2x + 2x = 4x -4x2 + 4x3 + -1(1 + 4x + 4x2) = 2 + -5x -4x2 + 4x3 + (1 * -1 + 4x * -1 + 4x2 * -1) = 2 + -5x -4x2 + 4x3 + (-1 + -4x + -4x2) = 2 + -5x Reorder the terms: -1 + -4x + -4x2 + -4x2 + 4x3 = 2 + -5x Combine like terms: -4x2 + -4x2 = -8x2 -1 + -4x + -8x2 + 4x3 = 2 + -5x Solving -1 + -4x + -8x2 + 4x3 = 2 + -5x Solving for variable 'x'. Reorder the terms: -1 + -2 + -4x + 5x + -8x2 + 4x3 = 2 + -5x + -2 + 5x Combine like terms: -1 + -2 = -3 -3 + -4x + 5x + -8x2 + 4x3 = 2 + -5x + -2 + 5x Combine like terms: -4x + 5x = 1x -3 + 1x + -8x2 + 4x3 = 2 + -5x + -2 + 5x Reorder the terms: -3 + 1x + -8x2 + 4x3 = 2 + -2 + -5x + 5x Combine like terms: 2 + -2 = 0 -3 + 1x + -8x2 + 4x3 = 0 + -5x + 5x -3 + 1x + -8x2 + 4x3 = -5x + 5x Combine like terms: -5x + 5x = 0 -3 + 1x + -8x2 + 4x3 = 0 The solution to this equation could not be determined.
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