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Simplifying -5(x + -1) * 3x + 2 = 6x + 4 Reorder the terms: -5(-1 + x) * 3x + 2 = 6x + 4 Reorder the terms for easier multiplication: -5 * 3x(-1 + x) + 2 = 6x + 4 Multiply -5 * 3 -15x(-1 + x) + 2 = 6x + 4 (-1 * -15x + x * -15x) + 2 = 6x + 4 (15x + -15x2) + 2 = 6x + 4 Reorder the terms: 2 + 15x + -15x2 = 6x + 4 Reorder the terms: 2 + 15x + -15x2 = 4 + 6x Solving 2 + 15x + -15x2 = 4 + 6x Solving for variable 'x'. Reorder the terms: 2 + -4 + 15x + -6x + -15x2 = 4 + 6x + -4 + -6x Combine like terms: 2 + -4 = -2 -2 + 15x + -6x + -15x2 = 4 + 6x + -4 + -6x Combine like terms: 15x + -6x = 9x -2 + 9x + -15x2 = 4 + 6x + -4 + -6x Reorder the terms: -2 + 9x + -15x2 = 4 + -4 + 6x + -6x Combine like terms: 4 + -4 = 0 -2 + 9x + -15x2 = 0 + 6x + -6x -2 + 9x + -15x2 = 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 9x + -15x2 = 0 Begin completing the square. Divide all terms by -15 the coefficient of the squared term: Divide each side by '-15'. 0.1333333333 + -0.6x + x2 = 0 Move the constant term to the right: Add '-0.1333333333' to each side of the equation. 0.1333333333 + -0.6x + -0.1333333333 + x2 = 0 + -0.1333333333 Reorder the terms: 0.1333333333 + -0.1333333333 + -0.6x + x2 = 0 + -0.1333333333 Combine like terms: 0.1333333333 + -0.1333333333 = 0.0000000000 0.0000000000 + -0.6x + x2 = 0 + -0.1333333333 -0.6x + x2 = 0 + -0.1333333333 Combine like terms: 0 + -0.1333333333 = -0.1333333333 -0.6x + x2 = -0.1333333333 The x term is -0.6x. Take half its coefficient (-0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. -0.6x + 0.09 + x2 = -0.1333333333 + 0.09 Reorder the terms: 0.09 + -0.6x + x2 = -0.1333333333 + 0.09 Combine like terms: -0.1333333333 + 0.09 = -0.0433333333 0.09 + -0.6x + x2 = -0.0433333333 Factor a perfect square on the left side: (x + -0.3)(x + -0.3) = -0.0433333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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