-2x(x+14)-5(x+14)=0

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Solution for -2x(x+14)-5(x+14)=0 equation: 


Simplifying
-2x(x + 14) + -5(x + 14) = 0

Reorder the terms:
-2x(14 + x) + -5(x + 14) = 0
(14 * -2x + x * -2x) + -5(x + 14) = 0
(-28x + -2x2) + -5(x + 14) = 0

Reorder the terms:
-28x + -2x2 + -5(14 + x) = 0
-28x + -2x2 + (14 * -5 + x * -5) = 0
-28x + -2x2 + (-70 + -5x) = 0

Reorder the terms:
-70 + -28x + -5x + -2x2 = 0

Combine like terms: -28x + -5x = -33x
-70 + -33x + -2x2 = 0

Solving
-70 + -33x + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(70 + 33x + 2x2) = 0

Factor a trinomial.
-1((14 + x)(5 + 2x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(14 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 0

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

Add '-14' to each side of the equation.
14 + -14 + x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x = 0 + -14
x = 0 + -14

Combine like terms: 0 + -14 = -14
x = -14

Simplifying
x = -14

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

Simplifying
5 + 2x = 0

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

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

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

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {-14, -2.5}

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