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Simplifying 21x2 + 14x + 4 = 0 Reorder the terms: 4 + 14x + 21x2 = 0 Solving 4 + 14x + 21x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. 0.1904761905 + 0.6666666667x + x2 = 0 Move the constant term to the right: Add '-0.1904761905' to each side of the equation. 0.1904761905 + 0.6666666667x + -0.1904761905 + x2 = 0 + -0.1904761905 Reorder the terms: 0.1904761905 + -0.1904761905 + 0.6666666667x + x2 = 0 + -0.1904761905 Combine like terms: 0.1904761905 + -0.1904761905 = 0.0000000000 0.0000000000 + 0.6666666667x + x2 = 0 + -0.1904761905 0.6666666667x + x2 = 0 + -0.1904761905 Combine like terms: 0 + -0.1904761905 = -0.1904761905 0.6666666667x + x2 = -0.1904761905 The x term is 0.6666666667x. Take half its coefficient (0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. 0.6666666667x + 0.1111111112 + x2 = -0.1904761905 + 0.1111111112 Reorder the terms: 0.1111111112 + 0.6666666667x + x2 = -0.1904761905 + 0.1111111112 Combine like terms: -0.1904761905 + 0.1111111112 = -0.0793650793 0.1111111112 + 0.6666666667x + x2 = -0.0793650793 Factor a perfect square on the left side: (x + 0.3333333334)(x + 0.3333333334) = -0.0793650793 Can't calculate square root of the right side. The solution to this equation could not be determined.
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