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Simplifying 5(3 + -7x) * 4x = 139 Reorder the terms for easier multiplication: 5 * 4x(3 + -7x) = 139 Multiply 5 * 4 20x(3 + -7x) = 139 (3 * 20x + -7x * 20x) = 139 (60x + -140x2) = 139 Solving 60x + -140x2 = 139 Solving for variable 'x'. Reorder the terms: -139 + 60x + -140x2 = 139 + -139 Combine like terms: 139 + -139 = 0 -139 + 60x + -140x2 = 0 Begin completing the square. Divide all terms by -140 the coefficient of the squared term: Divide each side by '-140'. 0.9928571429 + -0.4285714286x + x2 = 0.0 Move the constant term to the right: Add '-0.9928571429' to each side of the equation. 0.9928571429 + -0.4285714286x + -0.9928571429 + x2 = 0.0 + -0.9928571429 Reorder the terms: 0.9928571429 + -0.9928571429 + -0.4285714286x + x2 = 0.0 + -0.9928571429 Combine like terms: 0.9928571429 + -0.9928571429 = 0.0000000000 0.0000000000 + -0.4285714286x + x2 = 0.0 + -0.9928571429 -0.4285714286x + x2 = 0.0 + -0.9928571429 Combine like terms: 0.0 + -0.9928571429 = -0.9928571429 -0.4285714286x + x2 = -0.9928571429 The x term is -0.4285714286x. Take half its coefficient (-0.2142857143). Square it (0.04591836735) and add it to both sides. Add '0.04591836735' to each side of the equation. -0.4285714286x + 0.04591836735 + x2 = -0.9928571429 + 0.04591836735 Reorder the terms: 0.04591836735 + -0.4285714286x + x2 = -0.9928571429 + 0.04591836735 Combine like terms: -0.9928571429 + 0.04591836735 = -0.94693877555 0.04591836735 + -0.4285714286x + x2 = -0.94693877555 Factor a perfect square on the left side: (x + -0.2142857143)(x + -0.2142857143) = -0.94693877555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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