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Simplifying 4x(2x + 3x) = 7x + -39 Combine like terms: 2x + 3x = 5x 4x(5x) = 7x + -39 Remove parenthesis around (5x) 4x * 5x = 7x + -39 Reorder the terms for easier multiplication: 4 * 5x * x = 7x + -39 Multiply 4 * 5 20x * x = 7x + -39 Multiply x * x 20x2 = 7x + -39 Reorder the terms: 20x2 = -39 + 7x Solving 20x2 = -39 + 7x Solving for variable 'x'. Reorder the terms: 39 + -7x + 20x2 = -39 + 7x + 39 + -7x Reorder the terms: 39 + -7x + 20x2 = -39 + 39 + 7x + -7x Combine like terms: -39 + 39 = 0 39 + -7x + 20x2 = 0 + 7x + -7x 39 + -7x + 20x2 = 7x + -7x Combine like terms: 7x + -7x = 0 39 + -7x + 20x2 = 0 Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 1.95 + -0.35x + x2 = 0.0 Move the constant term to the right: Add '-1.95' to each side of the equation. 1.95 + -0.35x + -1.95 + x2 = 0.0 + -1.95 Reorder the terms: 1.95 + -1.95 + -0.35x + x2 = 0.0 + -1.95 Combine like terms: 1.95 + -1.95 = 0.00 0.00 + -0.35x + x2 = 0.0 + -1.95 -0.35x + x2 = 0.0 + -1.95 Combine like terms: 0.0 + -1.95 = -1.95 -0.35x + x2 = -1.95 The x term is -0.35x. Take half its coefficient (-0.175). Square it (0.030625) and add it to both sides. Add '0.030625' to each side of the equation. -0.35x + 0.030625 + x2 = -1.95 + 0.030625 Reorder the terms: 0.030625 + -0.35x + x2 = -1.95 + 0.030625 Combine like terms: -1.95 + 0.030625 = -1.919375 0.030625 + -0.35x + x2 = -1.919375 Factor a perfect square on the left side: (x + -0.175)(x + -0.175) = -1.919375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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