(3x+2)(5x-10)=

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Solution for (3x+2)(5x-10)= equation: 


Simplifying
(3x + 2)(5x + -10) = 0

Reorder the terms:
(2 + 3x)(5x + -10) = 0

Reorder the terms:
(2 + 3x)(-10 + 5x) = 0

Multiply (2 + 3x) * (-10 + 5x)
(2(-10 + 5x) + 3x * (-10 + 5x)) = 0
((-10 * 2 + 5x * 2) + 3x * (-10 + 5x)) = 0
((-20 + 10x) + 3x * (-10 + 5x)) = 0
(-20 + 10x + (-10 * 3x + 5x * 3x)) = 0
(-20 + 10x + (-30x + 15x2)) = 0

Combine like terms: 10x + -30x = -20x
(-20 + -20x + 15x2) = 0

Solving
-20 + -20x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-4 + -4x + 3x2) = 0

Factor a trinomial.
5((-2 + -3x)(2 + -1x)) = 0

Ignore the factor 5.

Subproblem 1
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

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 = {-0.6666666667, 2}

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