9x(2x+10)=24x

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Solution for 9x(2x+10)=24x equation: 


Simplifying
9x(2x + 10) = 24x

Reorder the terms:
9x(10 + 2x) = 24x
(10 * 9x + 2x * 9x) = 24x
(90x + 18x2) = 24x

Solving
90x + 18x2 = 24x

Solving for variable 'x'.

Reorder the terms:
90x + -24x + 18x2 = 24x + -24x

Combine like terms: 90x + -24x = 66x
66x + 18x2 = 24x + -24x

Combine like terms: 24x + -24x = 0
66x + 18x2 = 0

Factor out the Greatest Common Factor (GCF), '6x'.
6x(11 + 3x) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(11 + 3x)' equal to zero and attempt to solve:

Simplifying
11 + 3x = 0

Solving
11 + 3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-11' to each side of the equation.
11 + -11 + 3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = 0 + -11
3x = 0 + -11

Combine like terms: 0 + -11 = -11
3x = -11

Divide each side by '3'.
x = -3.666666667

Simplifying
x = -3.666666667
Solution
x = {0, -3.666666667}

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