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Simplifying -4x(x + 2) + -3x = 20 Reorder the terms: -4x(2 + x) + -3x = 20 (2 * -4x + x * -4x) + -3x = 20 (-8x + -4x2) + -3x = 20 Reorder the terms: -8x + -3x + -4x2 = 20 Combine like terms: -8x + -3x = -11x -11x + -4x2 = 20 Solving -11x + -4x2 = 20 Solving for variable 'x'. Reorder the terms: -20 + -11x + -4x2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + -11x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(20 + 11x + 4x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(20 + 11x + 4x2)' equal to zero and attempt to solve: Simplifying 20 + 11x + 4x2 = 0 Solving 20 + 11x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 5 + 2.75x + x2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + 2.75x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + 2.75x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2.75x + x2 = 0 + -5 2.75x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 2.75x + x2 = -5 The x term is 2.75x. Take half its coefficient (1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. 2.75x + 1.890625 + x2 = -5 + 1.890625 Reorder the terms: 1.890625 + 2.75x + x2 = -5 + 1.890625 Combine like terms: -5 + 1.890625 = -3.109375 1.890625 + 2.75x + x2 = -3.109375 Factor a perfect square on the left side: (x + 1.375)(x + 1.375) = -3.109375 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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