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Simplifying -5t2 + -70t + -490 = 0 Reorder the terms: -490 + -70t + -5t2 = 0 Solving -490 + -70t + -5t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '-5'. -5(98 + 14t + t2) = 0 Ignore the factor -5.Subproblem 1
Set the factor '(98 + 14t + t2)' equal to zero and attempt to solve: Simplifying 98 + 14t + t2 = 0 Solving 98 + 14t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-98' to each side of the equation. 98 + 14t + -98 + t2 = 0 + -98 Reorder the terms: 98 + -98 + 14t + t2 = 0 + -98 Combine like terms: 98 + -98 = 0 0 + 14t + t2 = 0 + -98 14t + t2 = 0 + -98 Combine like terms: 0 + -98 = -98 14t + t2 = -98 The t term is 14t. Take half its coefficient (7). Square it (49) and add it to both sides. Add '49' to each side of the equation. 14t + 49 + t2 = -98 + 49 Reorder the terms: 49 + 14t + t2 = -98 + 49 Combine like terms: -98 + 49 = -49 49 + 14t + t2 = -49 Factor a perfect square on the left side: (t + 7)(t + 7) = -49 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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