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Simplifying x(2x + 8) = -20 Reorder the terms: x(8 + 2x) = -20 (8 * x + 2x * x) = -20 (8x + 2x2) = -20 Solving 8x + 2x2 = -20 Solving for variable 'x'. Reorder the terms: 20 + 8x + 2x2 = -20 + 20 Combine like terms: -20 + 20 = 0 20 + 8x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(10 + 4x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + 4x + x2)' equal to zero and attempt to solve: Simplifying 10 + 4x + x2 = 0 Solving 10 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 4x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + 4x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 4x + x2 = 0 + -10 4x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 4x + x2 = -10 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -10 + 4 Reorder the terms: 4 + 4x + x2 = -10 + 4 Combine like terms: -10 + 4 = -6 4 + 4x + x2 = -6 Factor a perfect square on the left side: (x + 2)(x + 2) = -6 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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