-X^2-61X-60=0

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Solution for -X^2-61X-60=0 equation:


Simplifying
-1X2 + -61X + -60 = 0

Reorder the terms:
-60 + -61X + -1X2 = 0

Solving
-60 + -61X + -1X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(60 + 61X + X2) = 0

Factor a trinomial.
-1((60 + X)(1 + X)) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(60 + X)' equal to zero and attempt to solve: Simplifying 60 + X = 0 Solving 60 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + X = 0 + -60 Combine like terms: 60 + -60 = 0 0 + X = 0 + -60 X = 0 + -60 Combine like terms: 0 + -60 = -60 X = -60 Simplifying X = -60

Subproblem 2

Set the factor '(1 + X)' equal to zero and attempt to solve: Simplifying 1 + X = 0 Solving 1 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + X = 0 + -1 X = 0 + -1 Combine like terms: 0 + -1 = -1 X = -1 Simplifying X = -1

Solution

X = {-60, -1}

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