3x(3x-10)=-24

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Solution for 3x(3x-10)=-24 equation: 


Simplifying
3x(3x + -10) = -24

Reorder the terms:
3x(-10 + 3x) = -24
(-10 * 3x + 3x * 3x) = -24
(-30x + 9x2) = -24

Solving
-30x + 9x2 = -24

Solving for variable 'x'.

Reorder the terms:
24 + -30x + 9x2 = -24 + 24

Combine like terms: -24 + 24 = 0
24 + -30x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(8 + -10x + 3x2) = 0

Factor a trinomial.
3((4 + -3x)(2 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333

Subproblem 2
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
Solution
x = {1.333333333, 2}

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