-20x^2+400x+48000=

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Solution for -20x^2+400x+48000= equation:


Simplifying
-20x2 + 400x + 48000 = 0

Reorder the terms:
48000 + 400x + -20x2 = 0

Solving
48000 + 400x + -20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '20'.
20(2400 + 20x + -1x2) = 0

Factor a trinomial.
20((60 + -1x)(40 + x)) = 0

Ignore the factor 20.

Subproblem 1

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

Subproblem 2

Set the factor '(40 + x)' equal to zero and attempt to solve: Simplifying 40 + x = 0 Solving 40 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + x = 0 + -40 x = 0 + -40 Combine like terms: 0 + -40 = -40 x = -40 Simplifying x = -40

Solution

x = {60, -40}

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