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Simplifying 2x(x + 1) + 20 = 0 Reorder the terms: 2x(1 + x) + 20 = 0 (1 * 2x + x * 2x) + 20 = 0 (2x + 2x2) + 20 = 0 Reorder the terms: 20 + 2x + 2x2 = 0 Solving 20 + 2x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(10 + x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + x + x2)' equal to zero and attempt to solve: Simplifying 10 + x + x2 = 0 Solving 10 + x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x + x2 = 0 + -10 x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 x + x2 = -10 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = -10 + 0.25 Reorder the terms: 0.25 + x + x2 = -10 + 0.25 Combine like terms: -10 + 0.25 = -9.75 0.25 + x + x2 = -9.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -9.75 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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