120x-2x^2=1600

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Solution for 120x-2x^2=1600 equation:


Simplifying
120x + -2x2 = 1600

Solving
120x + -2x2 = 1600

Solving for variable 'x'.

Reorder the terms:
-1600 + 120x + -2x2 = 1600 + -1600

Combine like terms: 1600 + -1600 = 0
-1600 + 120x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-800 + 60x + -1x2) = 0

Factor a trinomial.
2((-40 + x)(20 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20

Solution

x = {40, 20}

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