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Simplifying 900 + x2 + x2 + 4x + 4 = 0 Reorder the terms: 900 + 4 + 4x + x2 + x2 = 0 Combine like terms: 900 + 4 = 904 904 + 4x + x2 + x2 = 0 Combine like terms: x2 + x2 = 2x2 904 + 4x + 2x2 = 0 Solving 904 + 4x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(452 + 2x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(452 + 2x + x2)' equal to zero and attempt to solve: Simplifying 452 + 2x + x2 = 0 Solving 452 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-452' to each side of the equation. 452 + 2x + -452 + x2 = 0 + -452 Reorder the terms: 452 + -452 + 2x + x2 = 0 + -452 Combine like terms: 452 + -452 = 0 0 + 2x + x2 = 0 + -452 2x + x2 = 0 + -452 Combine like terms: 0 + -452 = -452 2x + x2 = -452 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 = -452 + 1 Reorder the terms: 1 + 2x + x2 = -452 + 1 Combine like terms: -452 + 1 = -451 1 + 2x + x2 = -451 Factor a perfect square on the left side: (x + 1)(x + 1) = -451 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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