(2x+10)(x-2)(-162)=0

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Solution for (2x+10)(x-2)(-162)=0 equation: 


Simplifying
(2x + 10)(x + -2)(-162) = 0

Reorder the terms:
(10 + 2x)(x + -2)(-162) = 0

Reorder the terms:
(10 + 2x)(-2 + x)(-162) = 0

Reorder the terms for easier multiplication:
-162(10 + 2x)(-2 + x) = 0

Multiply (10 + 2x) * (-2 + x)
-162(10(-2 + x) + 2x * (-2 + x)) = 0
-162((-2 * 10 + x * 10) + 2x * (-2 + x)) = 0
-162((-20 + 10x) + 2x * (-2 + x)) = 0
-162(-20 + 10x + (-2 * 2x + x * 2x)) = 0
-162(-20 + 10x + (-4x + 2x2)) = 0

Combine like terms: 10x + -4x = 6x
-162(-20 + 6x + 2x2) = 0
(-20 * -162 + 6x * -162 + 2x2 * -162) = 0
(3240 + -972x + -324x2) = 0

Solving
3240 + -972x + -324x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '324'.
324(10 + -3x + -1x2) = 0

Factor a trinomial.
324((2 + -1x)(5 + x)) = 0

Ignore the factor 324.

Subproblem 1
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

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 = {2, -5}

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