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Simplifying -33600 + -140x + -1x2 = 0 Solving -33600 + -140x + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(33600 + 140x + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(33600 + 140x + x2)' equal to zero and attempt to solve: Simplifying 33600 + 140x + x2 = 0 Solving 33600 + 140x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-33600' to each side of the equation. 33600 + 140x + -33600 + x2 = 0 + -33600 Reorder the terms: 33600 + -33600 + 140x + x2 = 0 + -33600 Combine like terms: 33600 + -33600 = 0 0 + 140x + x2 = 0 + -33600 140x + x2 = 0 + -33600 Combine like terms: 0 + -33600 = -33600 140x + x2 = -33600 The x term is 140x. Take half its coefficient (70). Square it (4900) and add it to both sides. Add '4900' to each side of the equation. 140x + 4900 + x2 = -33600 + 4900 Reorder the terms: 4900 + 140x + x2 = -33600 + 4900 Combine like terms: -33600 + 4900 = -28700 4900 + 140x + x2 = -28700 Factor a perfect square on the left side: (x + 70)(x + 70) = -28700 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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