0=-x^2-60x+7200

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Solution for 0=-x^2-60x+7200 equation:


Simplifying
0 = -1x2 + -60x + 7200

Reorder the terms:
0 = 7200 + -60x + -1x2

Solving
0 = 7200 + -60x + -1x2

Solving for variable 'x'.

Combine like terms: 0 + -7200 = -7200
-7200 + 60x + x2 = 7200 + -60x + -1x2 + -7200 + 60x + x2

Reorder the terms:
-7200 + 60x + x2 = 7200 + -7200 + -60x + 60x + -1x2 + x2

Combine like terms: 7200 + -7200 = 0
-7200 + 60x + x2 = 0 + -60x + 60x + -1x2 + x2
-7200 + 60x + x2 = -60x + 60x + -1x2 + x2

Combine like terms: -60x + 60x = 0
-7200 + 60x + x2 = 0 + -1x2 + x2
-7200 + 60x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-7200 + 60x + x2 = 0

Factor a trinomial.
(-120 + -1x)(60 + -1x) = 0

Subproblem 1

Set the factor '(-120 + -1x)' equal to zero and attempt to solve: Simplifying -120 + -1x = 0 Solving -120 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '120' to each side of the equation. -120 + 120 + -1x = 0 + 120 Combine like terms: -120 + 120 = 0 0 + -1x = 0 + 120 -1x = 0 + 120 Combine like terms: 0 + 120 = 120 -1x = 120 Divide each side by '-1'. x = -120 Simplifying x = -120

Subproblem 2

Set the factor '(60 + -1x)' equal to zero and attempt to solve: Simplifying 60 + -1x = 0 Solving 60 + -1x = 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 + -1x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1x = 0 + -60 -1x = 0 + -60 Combine like terms: 0 + -60 = -60 -1x = -60 Divide each side by '-1'. x = 60 Simplifying x = 60

Solution

x = {-120, 60}

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