(2x-4)*(x+10)=0

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Solution for (2x-4)*(x+10)=0 equation: 


Simplifying
(2x + -4)(x + 10) = 0

Reorder the terms:
(-4 + 2x)(x + 10) = 0

Reorder the terms:
(-4 + 2x)(10 + x) = 0

Multiply (-4 + 2x) * (10 + x)
(-4(10 + x) + 2x * (10 + x)) = 0
((10 * -4 + x * -4) + 2x * (10 + x)) = 0
((-40 + -4x) + 2x * (10 + x)) = 0
(-40 + -4x + (10 * 2x + x * 2x)) = 0
(-40 + -4x + (20x + 2x2)) = 0

Combine like terms: -4x + 20x = 16x
(-40 + 16x + 2x2) = 0

Solving
-40 + 16x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + 8x + x2) = 0

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

Ignore the factor 2.

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 + -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 = {-10, 2}

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