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Simplifying 2x2 + 60x + 800 = 0 Reorder the terms: 800 + 60x + 2x2 = 0 Solving 800 + 60x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(400 + 30x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(400 + 30x + x2)' equal to zero and attempt to solve: Simplifying 400 + 30x + x2 = 0 Solving 400 + 30x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-400' to each side of the equation. 400 + 30x + -400 + x2 = 0 + -400 Reorder the terms: 400 + -400 + 30x + x2 = 0 + -400 Combine like terms: 400 + -400 = 0 0 + 30x + x2 = 0 + -400 30x + x2 = 0 + -400 Combine like terms: 0 + -400 = -400 30x + x2 = -400 The x term is 30x. Take half its coefficient (15). Square it (225) and add it to both sides. Add '225' to each side of the equation. 30x + 225 + x2 = -400 + 225 Reorder the terms: 225 + 30x + x2 = -400 + 225 Combine like terms: -400 + 225 = -175 225 + 30x + x2 = -175 Factor a perfect square on the left side: (x + 15)(x + 15) = -175 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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