(X-2)(X-9)=

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Solution for (X-2)(X-9)= equation:


Simplifying
(X + -2)(X + -9) = 0

Reorder the terms:
(-2 + X)(X + -9) = 0

Reorder the terms:
(-2 + X)(-9 + X) = 0

Multiply (-2 + X) * (-9 + X)
(-2(-9 + X) + X(-9 + X)) = 0
((-9 * -2 + X * -2) + X(-9 + X)) = 0
((18 + -2X) + X(-9 + X)) = 0
(18 + -2X + (-9 * X + X * X)) = 0
(18 + -2X + (-9X + X2)) = 0

Combine like terms: -2X + -9X = -11X
(18 + -11X + X2) = 0

Solving
18 + -11X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(2 + -1X)(9 + -1X) = 0

Subproblem 1

Set the factor '(2 + -1X)' equal to zero and attempt to solve: Simplifying 2 + -1X = 0 Solving 2 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1X = 0 + -2 -1X = 0 + -2 Combine like terms: 0 + -2 = -2 -1X = -2 Divide each side by '-1'. X = 2 Simplifying X = 2

Subproblem 2

Set the factor '(9 + -1X)' equal to zero and attempt to solve: Simplifying 9 + -1X = 0 Solving 9 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1X = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1X = 0 + -9 -1X = 0 + -9 Combine like terms: 0 + -9 = -9 -1X = -9 Divide each side by '-1'. X = 9 Simplifying X = 9

Solution

X = {2, 9}

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