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Simplifying 2x2 + 40x + 280 = 0 Reorder the terms: 280 + 40x + 2x2 = 0 Solving 280 + 40x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(140 + 20x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(140 + 20x + x2)' equal to zero and attempt to solve: Simplifying 140 + 20x + x2 = 0 Solving 140 + 20x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-140' to each side of the equation. 140 + 20x + -140 + x2 = 0 + -140 Reorder the terms: 140 + -140 + 20x + x2 = 0 + -140 Combine like terms: 140 + -140 = 0 0 + 20x + x2 = 0 + -140 20x + x2 = 0 + -140 Combine like terms: 0 + -140 = -140 20x + x2 = -140 The x term is 20x. Take half its coefficient (10). Square it (100) and add it to both sides. Add '100' to each side of the equation. 20x + 100 + x2 = -140 + 100 Reorder the terms: 100 + 20x + x2 = -140 + 100 Combine like terms: -140 + 100 = -40 100 + 20x + x2 = -40 Factor a perfect square on the left side: (x + 10)(x + 10) = -40 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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