2400=x^2+50x+1800

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Solution for 2400=x^2+50x+1800 equation:


Simplifying
2400 = x2 + 50x + 1800

Reorder the terms:
2400 = 1800 + 50x + x2

Solving
2400 = 1800 + 50x + x2

Solving for variable 'x'.

Combine like terms: 2400 + -1800 = 600
600 + -50x + -1x2 = 1800 + 50x + x2 + -1800 + -50x + -1x2

Reorder the terms:
600 + -50x + -1x2 = 1800 + -1800 + 50x + -50x + x2 + -1x2

Combine like terms: 1800 + -1800 = 0
600 + -50x + -1x2 = 0 + 50x + -50x + x2 + -1x2
600 + -50x + -1x2 = 50x + -50x + x2 + -1x2

Combine like terms: 50x + -50x = 0
600 + -50x + -1x2 = 0 + x2 + -1x2
600 + -50x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
600 + -50x + -1x2 = 0

Factor a trinomial.
(10 + -1x)(60 + x) = 0

Subproblem 1

Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10

Subproblem 2

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

Solution

x = {10, -60}

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