X(X+11)=840

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Solution for X(X+11)=840 equation:


Simplifying
X(X + 11) = 840

Reorder the terms:
X(11 + X) = 840
(11 * X + X * X) = 840
(11X + X2) = 840

Solving
11X + X2 = 840

Solving for variable 'X'.

Reorder the terms:
-840 + 11X + X2 = 840 + -840

Combine like terms: 840 + -840 = 0
-840 + 11X + X2 = 0

Factor a trinomial.
(-35 + -1X)(24 + -1X) = 0

Subproblem 1

Set the factor '(-35 + -1X)' equal to zero and attempt to solve: Simplifying -35 + -1X = 0 Solving -35 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -1X = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -1X = 0 + 35 -1X = 0 + 35 Combine like terms: 0 + 35 = 35 -1X = 35 Divide each side by '-1'. X = -35 Simplifying X = -35

Subproblem 2

Set the factor '(24 + -1X)' equal to zero and attempt to solve: Simplifying 24 + -1X = 0 Solving 24 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1X = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1X = 0 + -24 -1X = 0 + -24 Combine like terms: 0 + -24 = -24 -1X = -24 Divide each side by '-1'. X = 24 Simplifying X = 24

Solution

X = {-35, 24}

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