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Simplifying 2x2 + 88x = -976 Reorder the terms: 88x + 2x2 = -976 Solving 88x + 2x2 = -976 Solving for variable 'x'. Reorder the terms: 976 + 88x + 2x2 = -976 + 976 Combine like terms: -976 + 976 = 0 976 + 88x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(488 + 44x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(488 + 44x + x2)' equal to zero and attempt to solve: Simplifying 488 + 44x + x2 = 0 Solving 488 + 44x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-488' to each side of the equation. 488 + 44x + -488 + x2 = 0 + -488 Reorder the terms: 488 + -488 + 44x + x2 = 0 + -488 Combine like terms: 488 + -488 = 0 0 + 44x + x2 = 0 + -488 44x + x2 = 0 + -488 Combine like terms: 0 + -488 = -488 44x + x2 = -488 The x term is 44x. Take half its coefficient (22). Square it (484) and add it to both sides. Add '484' to each side of the equation. 44x + 484 + x2 = -488 + 484 Reorder the terms: 484 + 44x + x2 = -488 + 484 Combine like terms: -488 + 484 = -4 484 + 44x + x2 = -4 Factor a perfect square on the left side: (x + 22)(x + 22) = -4 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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