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Simplifying 2x2 + 80x + 2000000 = 22400 Reorder the terms: 2000000 + 80x + 2x2 = 22400 Solving 2000000 + 80x + 2x2 = 22400 Solving for variable 'x'. Reorder the terms: 2000000 + -22400 + 80x + 2x2 = 22400 + -22400 Combine like terms: 2000000 + -22400 = 1977600 1977600 + 80x + 2x2 = 22400 + -22400 Combine like terms: 22400 + -22400 = 0 1977600 + 80x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(988800 + 40x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(988800 + 40x + x2)' equal to zero and attempt to solve: Simplifying 988800 + 40x + x2 = 0 Solving 988800 + 40x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-988800' to each side of the equation. 988800 + 40x + -988800 + x2 = 0 + -988800 Reorder the terms: 988800 + -988800 + 40x + x2 = 0 + -988800 Combine like terms: 988800 + -988800 = 0 0 + 40x + x2 = 0 + -988800 40x + x2 = 0 + -988800 Combine like terms: 0 + -988800 = -988800 40x + x2 = -988800 The x term is 40x. Take half its coefficient (20). Square it (400) and add it to both sides. Add '400' to each side of the equation. 40x + 400 + x2 = -988800 + 400 Reorder the terms: 400 + 40x + x2 = -988800 + 400 Combine like terms: -988800 + 400 = -988400 400 + 40x + x2 = -988400 Factor a perfect square on the left side: (x + 20)(x + 20) = -988400 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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