U^2+60U-396=0

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Solution for U^2+60U-396=0 equation:


Simplifying
U2 + 60U + -396 = 0

Reorder the terms:
-396 + 60U + U2 = 0

Solving
-396 + 60U + U2 = 0

Solving for variable 'U'.

Factor a trinomial.
(-66 + -1U)(6 + -1U) = 0

Subproblem 1

Set the factor '(-66 + -1U)' equal to zero and attempt to solve: Simplifying -66 + -1U = 0 Solving -66 + -1U = 0 Move all terms containing U to the left, all other terms to the right. Add '66' to each side of the equation. -66 + 66 + -1U = 0 + 66 Combine like terms: -66 + 66 = 0 0 + -1U = 0 + 66 -1U = 0 + 66 Combine like terms: 0 + 66 = 66 -1U = 66 Divide each side by '-1'. U = -66 Simplifying U = -66

Subproblem 2

Set the factor '(6 + -1U)' equal to zero and attempt to solve: Simplifying 6 + -1U = 0 Solving 6 + -1U = 0 Move all terms containing U to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1U = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1U = 0 + -6 -1U = 0 + -6 Combine like terms: 0 + -6 = -6 -1U = -6 Divide each side by '-1'. U = 6 Simplifying U = 6

Solution

U = {-66, 6}

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