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Simplifying 4 + -1x2 + -2x = 35 Reorder the terms: 4 + -2x + -1x2 = 35 Solving 4 + -2x + -1x2 = 35 Solving for variable 'x'. Reorder the terms: 4 + -35 + -2x + -1x2 = 35 + -35 Combine like terms: 4 + -35 = -31 -31 + -2x + -1x2 = 35 + -35 Combine like terms: 35 + -35 = 0 -31 + -2x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(31 + 2x + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(31 + 2x + x2)' equal to zero and attempt to solve: Simplifying 31 + 2x + x2 = 0 Solving 31 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-31' to each side of the equation. 31 + 2x + -31 + x2 = 0 + -31 Reorder the terms: 31 + -31 + 2x + x2 = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 2x + x2 = 0 + -31 2x + x2 = 0 + -31 Combine like terms: 0 + -31 = -31 2x + x2 = -31 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -31 + 1 Reorder the terms: 1 + 2x + x2 = -31 + 1 Combine like terms: -31 + 1 = -30 1 + 2x + x2 = -30 Factor a perfect square on the left side: (x + 1)(x + 1) = -30 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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