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Simplifying 10x2 + 100x + 1000 = 0 Reorder the terms: 1000 + 100x + 10x2 = 0 Solving 1000 + 100x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10'. 10(100 + 10x + x2) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(100 + 10x + x2)' equal to zero and attempt to solve: Simplifying 100 + 10x + x2 = 0 Solving 100 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-100' to each side of the equation. 100 + 10x + -100 + x2 = 0 + -100 Reorder the terms: 100 + -100 + 10x + x2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 10x + x2 = 0 + -100 10x + x2 = 0 + -100 Combine like terms: 0 + -100 = -100 10x + x2 = -100 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 = -100 + 25 Reorder the terms: 25 + 10x + x2 = -100 + 25 Combine like terms: -100 + 25 = -75 25 + 10x + x2 = -75 Factor a perfect square on the left side: (x + 5)(x + 5) = -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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