40X-X^2-300=0

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Solution for 40X-X^2-300=0 equation:


Simplifying
40X + -1X2 + -300 = 0

Reorder the terms:
-300 + 40X + -1X2 = 0

Solving
-300 + 40X + -1X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-30 + X)(10 + -1X) = 0

Subproblem 1

Set the factor '(-30 + X)' equal to zero and attempt to solve: Simplifying -30 + X = 0 Solving -30 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + X = 0 + 30 Combine like terms: -30 + 30 = 0 0 + X = 0 + 30 X = 0 + 30 Combine like terms: 0 + 30 = 30 X = 30 Simplifying X = 30

Subproblem 2

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

Solution

X = {30, 10}

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