-270-3X=-X^2

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Solution for -270-3X=-X^2 equation:


Simplifying
-270 + -3X = -1X2

Solving
-270 + -3X = -1X2

Solving for variable 'X'.

Combine like terms: -1X2 + X2 = 0
-270 + -3X + X2 = 0

Factor a trinomial.
(-15 + -1X)(18 + -1X) = 0

Subproblem 1

Set the factor '(-15 + -1X)' equal to zero and attempt to solve: Simplifying -15 + -1X = 0 Solving -15 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1X = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1X = 0 + 15 -1X = 0 + 15 Combine like terms: 0 + 15 = 15 -1X = 15 Divide each side by '-1'. X = -15 Simplifying X = -15

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 = {-15, 18}

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