2x^2+12x=-35-7x

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Solution for 2x^2+12x=-35-7x equation: 


Simplifying
2x2 + 12x = -35 + -7x

Reorder the terms:
12x + 2x2 = -35 + -7x

Solving
12x + 2x2 = -35 + -7x

Solving for variable 'x'.

Reorder the terms:
35 + 12x + 7x + 2x2 = -35 + -7x + 35 + 7x

Combine like terms: 12x + 7x = 19x
35 + 19x + 2x2 = -35 + -7x + 35 + 7x

Reorder the terms:
35 + 19x + 2x2 = -35 + 35 + -7x + 7x

Combine like terms: -35 + 35 = 0
35 + 19x + 2x2 = 0 + -7x + 7x
35 + 19x + 2x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
35 + 19x + 2x2 = 0

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


Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7

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 = {-7, -2.5}

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