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Simplifying -2x2 + -14x + -144 = 0 Reorder the terms: -144 + -14x + -2x2 = 0 Solving -144 + -14x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2'. -2(72 + 7x + x2) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(72 + 7x + x2)' equal to zero and attempt to solve: Simplifying 72 + 7x + x2 = 0 Solving 72 + 7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-72' to each side of the equation. 72 + 7x + -72 + x2 = 0 + -72 Reorder the terms: 72 + -72 + 7x + x2 = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 7x + x2 = 0 + -72 7x + x2 = 0 + -72 Combine like terms: 0 + -72 = -72 7x + x2 = -72 The x term is 7x. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7x + 12.25 + x2 = -72 + 12.25 Reorder the terms: 12.25 + 7x + x2 = -72 + 12.25 Combine like terms: -72 + 12.25 = -59.75 12.25 + 7x + x2 = -59.75 Factor a perfect square on the left side: (x + 3.5)(x + 3.5) = -59.75 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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