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Simplifying 2x(3 + -5x) * 7 = 47 Reorder the terms for easier multiplication: 2 * 7x(3 + -5x) = 47 Multiply 2 * 7 14x(3 + -5x) = 47 (3 * 14x + -5x * 14x) = 47 (42x + -70x2) = 47 Solving 42x + -70x2 = 47 Solving for variable 'x'. Reorder the terms: -47 + 42x + -70x2 = 47 + -47 Combine like terms: 47 + -47 = 0 -47 + 42x + -70x2 = 0 Begin completing the square. Divide all terms by -70 the coefficient of the squared term: Divide each side by '-70'. 0.6714285714 + -0.6x + x2 = 0.0 Move the constant term to the right: Add '-0.6714285714' to each side of the equation. 0.6714285714 + -0.6x + -0.6714285714 + x2 = 0.0 + -0.6714285714 Reorder the terms: 0.6714285714 + -0.6714285714 + -0.6x + x2 = 0.0 + -0.6714285714 Combine like terms: 0.6714285714 + -0.6714285714 = 0.0000000000 0.0000000000 + -0.6x + x2 = 0.0 + -0.6714285714 -0.6x + x2 = 0.0 + -0.6714285714 Combine like terms: 0.0 + -0.6714285714 = -0.6714285714 -0.6x + x2 = -0.6714285714 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 = -0.6714285714 + 0.09 Reorder the terms: 0.09 + -0.6x + x2 = -0.6714285714 + 0.09 Combine like terms: -0.6714285714 + 0.09 = -0.5814285714 0.09 + -0.6x + x2 = -0.5814285714 Factor a perfect square on the left side: (x + -0.3)(x + -0.3) = -0.5814285714 Can't calculate square root of the right side. The solution to this equation could not be determined.
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