Simplifying
x2 = 11x + -24
Reorder the terms:
x2 = -24 + 11x
Solving
x2 = -24 + 11x
Solving for variable 'x'.
Reorder the terms:
24 + -11x + x2 = -24 + 11x + 24 + -11x
Reorder the terms:
24 + -11x + x2 = -24 + 24 + 11x + -11x
Combine like terms: -24 + 24 = 0
24 + -11x + x2 = 0 + 11x + -11x
24 + -11x + x2 = 11x + -11x
Combine like terms: 11x + -11x = 0
24 + -11x + x2 = 0
Factor a trinomial.
(3 + -1x)(8 + -1x) = 0
Subproblem 1Set the factor '(3 + -1x)' equal to zero and attempt to solve:
Simplifying
3 + -1x = 0
Solving
3 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3
Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3
Combine like terms: 0 + -3 = -3
-1x = -3
Divide each side by '-1'.
x = 3
Simplifying
x = 3
Subproblem 2Set the factor '(8 + -1x)' equal to zero and attempt to solve:
Simplifying
8 + -1x = 0
Solving
8 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8
Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8
Combine like terms: 0 + -8 = -8
-1x = -8
Divide each side by '-1'.
x = 8
Simplifying
x = 8Solutionx = {3, 8}
