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Simplifying 5x(x + -3) + 4x = -42 Reorder the terms: 5x(-3 + x) + 4x = -42 (-3 * 5x + x * 5x) + 4x = -42 (-15x + 5x2) + 4x = -42 Reorder the terms: -15x + 4x + 5x2 = -42 Combine like terms: -15x + 4x = -11x -11x + 5x2 = -42 Solving -11x + 5x2 = -42 Solving for variable 'x'. Reorder the terms: 42 + -11x + 5x2 = -42 + 42 Combine like terms: -42 + 42 = 0 42 + -11x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 8.4 + -2.2x + x2 = 0 Move the constant term to the right: Add '-8.4' to each side of the equation. 8.4 + -2.2x + -8.4 + x2 = 0 + -8.4 Reorder the terms: 8.4 + -8.4 + -2.2x + x2 = 0 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + -2.2x + x2 = 0 + -8.4 -2.2x + x2 = 0 + -8.4 Combine like terms: 0 + -8.4 = -8.4 -2.2x + x2 = -8.4 The x term is -2.2x. Take half its coefficient (-1.1). Square it (1.21) and add it to both sides. Add '1.21' to each side of the equation. -2.2x + 1.21 + x2 = -8.4 + 1.21 Reorder the terms: 1.21 + -2.2x + x2 = -8.4 + 1.21 Combine like terms: -8.4 + 1.21 = -7.19 1.21 + -2.2x + x2 = -7.19 Factor a perfect square on the left side: (x + -1.1)(x + -1.1) = -7.19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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