-50x^2+1500x=10800

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Solution for -50x^2+1500x=10800 equation:


Simplifying
-50x2 + 1500x = 10800

Reorder the terms:
1500x + -50x2 = 10800

Solving
1500x + -50x2 = 10800

Solving for variable 'x'.

Reorder the terms:
-10800 + 1500x + -50x2 = 10800 + -10800

Combine like terms: 10800 + -10800 = 0
-10800 + 1500x + -50x2 = 0

Factor out the Greatest Common Factor (GCF), '50'.
50(-216 + 30x + -1x2) = 0

Factor a trinomial.
50((-18 + x)(12 + -1x)) = 0

Ignore the factor 50.

Subproblem 1

Set the factor '(-18 + x)' equal to zero and attempt to solve: Simplifying -18 + x = 0 Solving -18 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + x = 0 + 18 x = 0 + 18 Combine like terms: 0 + 18 = 18 x = 18 Simplifying x = 18

Subproblem 2

Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12

Solution

x = {18, 12}

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