(3x-10)(3x+8)=0

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Solution for (3x-10)(3x+8)=0 equation: 


Simplifying
(3x + -10)(3x + 8) = 0

Reorder the terms:
(-10 + 3x)(3x + 8) = 0

Reorder the terms:
(-10 + 3x)(8 + 3x) = 0

Multiply (-10 + 3x) * (8 + 3x)
(-10(8 + 3x) + 3x * (8 + 3x)) = 0
((8 * -10 + 3x * -10) + 3x * (8 + 3x)) = 0
((-80 + -30x) + 3x * (8 + 3x)) = 0
(-80 + -30x + (8 * 3x + 3x * 3x)) = 0
(-80 + -30x + (24x + 9x2)) = 0

Combine like terms: -30x + 24x = -6x
(-80 + -6x + 9x2) = 0

Solving
-80 + -6x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -3x)(10 + -3x) = 0


Subproblem 1
Set the factor '(-8 + -3x)' equal to zero and attempt to solve:

Simplifying
-8 + -3x = 0

Solving
-8 + -3x = 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 + -3x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = 0 + 8
-3x = 0 + 8

Combine like terms: 0 + 8 = 8
-3x = 8

Divide each side by '-3'.
x = -2.666666667

Simplifying
x = -2.666666667

Subproblem 2
Set the factor '(10 + -3x)' equal to zero and attempt to solve:

Simplifying
10 + -3x = 0

Solving
10 + -3x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 0 + -10
-3x = 0 + -10

Combine like terms: 0 + -10 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333
Solution
x = {-2.666666667, 3.333333333}

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