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Simplifying -2x2 + -4x + -130 = 0 Reorder the terms: -130 + -4x + -2x2 = 0 Solving -130 + -4x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2'. -2(65 + 2x + x2) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(65 + 2x + x2)' equal to zero and attempt to solve: Simplifying 65 + 2x + x2 = 0 Solving 65 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-65' to each side of the equation. 65 + 2x + -65 + x2 = 0 + -65 Reorder the terms: 65 + -65 + 2x + x2 = 0 + -65 Combine like terms: 65 + -65 = 0 0 + 2x + x2 = 0 + -65 2x + x2 = 0 + -65 Combine like terms: 0 + -65 = -65 2x + x2 = -65 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 = -65 + 1 Reorder the terms: 1 + 2x + x2 = -65 + 1 Combine like terms: -65 + 1 = -64 1 + 2x + x2 = -64 Factor a perfect square on the left side: (x + 1)(x + 1) = -64 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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