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Simplifying 3x(5x) + -1(-2 + -4x) = 0 Remove parenthesis around (5x) 3x * 5x + -1(-2 + -4x) = 0 Reorder the terms for easier multiplication: 3 * 5x * x + -1(-2 + -4x) = 0 Multiply 3 * 5 15x * x + -1(-2 + -4x) = 0 Multiply x * x 15x2 + -1(-2 + -4x) = 0 15x2 + (-2 * -1 + -4x * -1) = 0 15x2 + (2 + 4x) = 0 Reorder the terms: 2 + 4x + 15x2 = 0 Solving 2 + 4x + 15x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.1333333333 + 0.2666666667x + x2 = 0 Move the constant term to the right: Add '-0.1333333333' to each side of the equation. 0.1333333333 + 0.2666666667x + -0.1333333333 + x2 = 0 + -0.1333333333 Reorder the terms: 0.1333333333 + -0.1333333333 + 0.2666666667x + x2 = 0 + -0.1333333333 Combine like terms: 0.1333333333 + -0.1333333333 = 0.0000000000 0.0000000000 + 0.2666666667x + x2 = 0 + -0.1333333333 0.2666666667x + x2 = 0 + -0.1333333333 Combine like terms: 0 + -0.1333333333 = -0.1333333333 0.2666666667x + x2 = -0.1333333333 The x term is 0.2666666667x. Take half its coefficient (0.1333333334). Square it (0.01777777780) and add it to both sides. Add '0.01777777780' to each side of the equation. 0.2666666667x + 0.01777777780 + x2 = -0.1333333333 + 0.01777777780 Reorder the terms: 0.01777777780 + 0.2666666667x + x2 = -0.1333333333 + 0.01777777780 Combine like terms: -0.1333333333 + 0.01777777780 = -0.1155555555 0.01777777780 + 0.2666666667x + x2 = -0.1155555555 Factor a perfect square on the left side: (x + 0.1333333334)(x + 0.1333333334) = -0.1155555555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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