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

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


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

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

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

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

Combine like terms: 15x + -2x = 13x
-2(-10 + 13x + 3x2) = 0
(-10 * -2 + 13x * -2 + 3x2 * -2) = 0
(20 + -26x + -6x2) = 0

Solving
20 + -26x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -13x + -3x2) = 0

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

Ignore the factor 2.

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 '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {0.6666666667, -5}

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