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Simplifying 4x(x + 3) + 30 = -3x Reorder the terms: 4x(3 + x) + 30 = -3x (3 * 4x + x * 4x) + 30 = -3x (12x + 4x2) + 30 = -3x Reorder the terms: 30 + 12x + 4x2 = -3x Solving 30 + 12x + 4x2 = -3x Solving for variable 'x'. Reorder the terms: 30 + 12x + 3x + 4x2 = -3x + 3x Combine like terms: 12x + 3x = 15x 30 + 15x + 4x2 = -3x + 3x Combine like terms: -3x + 3x = 0 30 + 15x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 7.5 + 3.75x + x2 = 0 Move the constant term to the right: Add '-7.5' to each side of the equation. 7.5 + 3.75x + -7.5 + x2 = 0 + -7.5 Reorder the terms: 7.5 + -7.5 + 3.75x + x2 = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 3.75x + x2 = 0 + -7.5 3.75x + x2 = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 3.75x + x2 = -7.5 The x term is 3.75x. Take half its coefficient (1.875). Square it (3.515625) and add it to both sides. Add '3.515625' to each side of the equation. 3.75x + 3.515625 + x2 = -7.5 + 3.515625 Reorder the terms: 3.515625 + 3.75x + x2 = -7.5 + 3.515625 Combine like terms: -7.5 + 3.515625 = -3.984375 3.515625 + 3.75x + x2 = -3.984375 Factor a perfect square on the left side: (x + 1.875)(x + 1.875) = -3.984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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