(3x-2)(x+10)=0

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Solution for (3x-2)(x+10)=0 equation: 


Simplifying
(3x + -2)(x + 10) = 0

Reorder the terms:
(-2 + 3x)(x + 10) = 0

Reorder the terms:
(-2 + 3x)(10 + x) = 0

Multiply (-2 + 3x) * (10 + x)
(-2(10 + x) + 3x * (10 + x)) = 0
((10 * -2 + x * -2) + 3x * (10 + x)) = 0
((-20 + -2x) + 3x * (10 + x)) = 0
(-20 + -2x + (10 * 3x + x * 3x)) = 0
(-20 + -2x + (30x + 3x2)) = 0

Combine like terms: -2x + 30x = 28x
(-20 + 28x + 3x2) = 0

Solving
-20 + 28x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10 + -1x)(2 + -3x) = 0


Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 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 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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

Simplifying
2 + -3x = 0

Solving
2 + -3x = 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 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {-10, 0.6666666667}

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