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Simplifying 10x2 + 80x + 220 = 0 Reorder the terms: 220 + 80x + 10x2 = 0 Solving 220 + 80x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10'. 10(22 + 8x + x2) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(22 + 8x + x2)' equal to zero and attempt to solve: Simplifying 22 + 8x + x2 = 0 Solving 22 + 8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-22' to each side of the equation. 22 + 8x + -22 + x2 = 0 + -22 Reorder the terms: 22 + -22 + 8x + x2 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 8x + x2 = 0 + -22 8x + x2 = 0 + -22 Combine like terms: 0 + -22 = -22 8x + x2 = -22 The x term is 8x. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8x + 16 + x2 = -22 + 16 Reorder the terms: 16 + 8x + x2 = -22 + 16 Combine like terms: -22 + 16 = -6 16 + 8x + x2 = -6 Factor a perfect square on the left side: (x + 4)(x + 4) = -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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