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Simplifying -1x2 + -10x + -42 = 0 Reorder the terms: -42 + -10x + -1x2 = 0 Solving -42 + -10x + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(42 + 10x + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(42 + 10x + x2)' equal to zero and attempt to solve: Simplifying 42 + 10x + x2 = 0 Solving 42 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-42' to each side of the equation. 42 + 10x + -42 + x2 = 0 + -42 Reorder the terms: 42 + -42 + 10x + x2 = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 10x + x2 = 0 + -42 10x + x2 = 0 + -42 Combine like terms: 0 + -42 = -42 10x + x2 = -42 The x term is 10x. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x + 25 + x2 = -42 + 25 Reorder the terms: 25 + 10x + x2 = -42 + 25 Combine like terms: -42 + 25 = -17 25 + 10x + x2 = -17 Factor a perfect square on the left side: (x + 5)(x + 5) = -17 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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