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Simplifying -5x(4x + 7) + 6(-1 + 6x) = 0 Reorder the terms: -5x(7 + 4x) + 6(-1 + 6x) = 0 (7 * -5x + 4x * -5x) + 6(-1 + 6x) = 0 (-35x + -20x2) + 6(-1 + 6x) = 0 -35x + -20x2 + (-1 * 6 + 6x * 6) = 0 -35x + -20x2 + (-6 + 36x) = 0 Reorder the terms: -6 + -35x + 36x + -20x2 = 0 Combine like terms: -35x + 36x = 1x -6 + 1x + -20x2 = 0 Solving -6 + 1x + -20x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -20 the coefficient of the squared term: Divide each side by '-20'. 0.3 + -0.05x + x2 = 0.0 Move the constant term to the right: Add '-0.3' to each side of the equation. 0.3 + -0.05x + -0.3 + x2 = 0.0 + -0.3 Reorder the terms: 0.3 + -0.3 + -0.05x + x2 = 0.0 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -0.05x + x2 = 0.0 + -0.3 -0.05x + x2 = 0.0 + -0.3 Combine like terms: 0.0 + -0.3 = -0.3 -0.05x + x2 = -0.3 The x term is -0.05x. Take half its coefficient (-0.025). Square it (0.000625) and add it to both sides. Add '0.000625' to each side of the equation. -0.05x + 0.000625 + x2 = -0.3 + 0.000625 Reorder the terms: 0.000625 + -0.05x + x2 = -0.3 + 0.000625 Combine like terms: -0.3 + 0.000625 = -0.299375 0.000625 + -0.05x + x2 = -0.299375 Factor a perfect square on the left side: (x + -0.025)(x + -0.025) = -0.299375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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