-35X=-X^2-306

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Solution for -35X=-X^2-306 equation:


Simplifying
-35X = -1X2 + -306

Reorder the terms:
-35X = -306 + -1X2

Solving
-35X = -306 + -1X2

Solving for variable 'X'.

Reorder the terms:
306 + -35X + X2 = -306 + -1X2 + 306 + X2

Reorder the terms:
306 + -35X + X2 = -306 + 306 + -1X2 + X2

Combine like terms: -306 + 306 = 0
306 + -35X + X2 = 0 + -1X2 + X2
306 + -35X + X2 = -1X2 + X2

Combine like terms: -1X2 + X2 = 0
306 + -35X + X2 = 0

Factor a trinomial.
(17 + -1X)(18 + -1X) = 0

Subproblem 1

Set the factor '(17 + -1X)' equal to zero and attempt to solve: Simplifying 17 + -1X = 0 Solving 17 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1X = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1X = 0 + -17 -1X = 0 + -17 Combine like terms: 0 + -17 = -17 -1X = -17 Divide each side by '-1'. X = 17 Simplifying X = 17

Subproblem 2

Set the factor '(18 + -1X)' equal to zero and attempt to solve: Simplifying 18 + -1X = 0 Solving 18 + -1X = 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 + -1X = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1X = 0 + -18 -1X = 0 + -18 Combine like terms: 0 + -18 = -18 -1X = -18 Divide each side by '-1'. X = 18 Simplifying X = 18

Solution

X = {17, 18}

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