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Simplifying 5(x + 1)(x2 + x + 1) + -7x2(x + 1) = 0 Reorder the terms: 5(1 + x)(x2 + x + 1) + -7x2(x + 1) = 0 Reorder the terms: 5(1 + x)(1 + x + x2) + -7x2(x + 1) = 0 Multiply (1 + x) * (1 + x + x2) 5(1(1 + x + x2) + x(1 + x + x2)) + -7x2(x + 1) = 0 5((1 * 1 + x * 1 + x2 * 1) + x(1 + x + x2)) + -7x2(x + 1) = 0 5((1 + 1x + 1x2) + x(1 + x + x2)) + -7x2(x + 1) = 0 5(1 + 1x + 1x2 + (1 * x + x * x + x2 * x)) + -7x2(x + 1) = 0 5(1 + 1x + 1x2 + (1x + x2 + x3)) + -7x2(x + 1) = 0 Reorder the terms: 5(1 + 1x + 1x + 1x2 + x2 + x3) + -7x2(x + 1) = 0 Combine like terms: 1x + 1x = 2x 5(1 + 2x + 1x2 + x2 + x3) + -7x2(x + 1) = 0 Combine like terms: 1x2 + x2 = 2x2 5(1 + 2x + 2x2 + x3) + -7x2(x + 1) = 0 (1 * 5 + 2x * 5 + 2x2 * 5 + x3 * 5) + -7x2(x + 1) = 0 (5 + 10x + 10x2 + 5x3) + -7x2(x + 1) = 0 Reorder the terms: 5 + 10x + 10x2 + 5x3 + -7x2(1 + x) = 0 5 + 10x + 10x2 + 5x3 + (1 * -7x2 + x * -7x2) = 0 5 + 10x + 10x2 + 5x3 + (-7x2 + -7x3) = 0 Reorder the terms: 5 + 10x + 10x2 + -7x2 + 5x3 + -7x3 = 0 Combine like terms: 10x2 + -7x2 = 3x2 5 + 10x + 3x2 + 5x3 + -7x3 = 0 Combine like terms: 5x3 + -7x3 = -2x3 5 + 10x + 3x2 + -2x3 = 0 Solving 5 + 10x + 3x2 + -2x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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