0=x^2-6x-1080

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Solution for 0=x^2-6x-1080 equation:


Simplifying
0 = x2 + -6x + -1080

Reorder the terms:
0 = -1080 + -6x + x2

Solving
0 = -1080 + -6x + x2

Solving for variable 'x'.

Combine like terms: 0 + 1080 = 1080
1080 + 6x + -1x2 = -1080 + -6x + x2 + 1080 + 6x + -1x2

Reorder the terms:
1080 + 6x + -1x2 = -1080 + 1080 + -6x + 6x + x2 + -1x2

Combine like terms: -1080 + 1080 = 0
1080 + 6x + -1x2 = 0 + -6x + 6x + x2 + -1x2
1080 + 6x + -1x2 = -6x + 6x + x2 + -1x2

Combine like terms: -6x + 6x = 0
1080 + 6x + -1x2 = 0 + x2 + -1x2
1080 + 6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1080 + 6x + -1x2 = 0

Factor a trinomial.
(36 + -1x)(30 + x) = 0

Subproblem 1

Set the factor '(36 + -1x)' equal to zero and attempt to solve: Simplifying 36 + -1x = 0 Solving 36 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = 0 + -36 -1x = 0 + -36 Combine like terms: 0 + -36 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36

Subproblem 2

Set the factor '(30 + x)' equal to zero and attempt to solve: Simplifying 30 + x = 0 Solving 30 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + x = 0 + -30 x = 0 + -30 Combine like terms: 0 + -30 = -30 x = -30 Simplifying x = -30

Solution

x = {36, -30}

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