(5x+2)(-3x-6)=

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Solution for (5x+2)(-3x-6)= equation: 


Simplifying
(5x + 2)(-3x + -6) = 0

Reorder the terms:
(2 + 5x)(-3x + -6) = 0

Reorder the terms:
(2 + 5x)(-6 + -3x) = 0

Multiply (2 + 5x) * (-6 + -3x)
(2(-6 + -3x) + 5x * (-6 + -3x)) = 0
((-6 * 2 + -3x * 2) + 5x * (-6 + -3x)) = 0
((-12 + -6x) + 5x * (-6 + -3x)) = 0
(-12 + -6x + (-6 * 5x + -3x * 5x)) = 0
(-12 + -6x + (-30x + -15x2)) = 0

Combine like terms: -6x + -30x = -36x
(-12 + -36x + -15x2) = 0

Solving
-12 + -36x + -15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-3'.
-3(4 + 12x + 5x2) = 0

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

Ignore the factor -3.

Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

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

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

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

Simplifying
x = -2

Subproblem 2
Set the factor '(2 + 5x)' equal to zero and attempt to solve:

Simplifying
2 + 5x = 0

Solving
2 + 5x = 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 + 5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 0 + -2
5x = 0 + -2

Combine like terms: 0 + -2 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4
Solution
x = {-2, -0.4}

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