2x^2+6x=-7x

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Solution for 2x^2+6x=-7x equation: 


Simplifying
2x2 + 6x = -7x

Reorder the terms:
6x + 2x2 = -7x

Solving
6x + 2x2 = -7x

Solving for variable 'x'.

Reorder the terms:
6x + 7x + 2x2 = -7x + 7x

Combine like terms: 6x + 7x = 13x
13x + 2x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
13x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(13 + 2x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(13 + 2x)' equal to zero and attempt to solve:

Simplifying
13 + 2x = 0

Solving
13 + 2x = 0

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

Add '-13' to each side of the equation.
13 + -13 + 2x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 0 + -13
2x = 0 + -13

Combine like terms: 0 + -13 = -13
2x = -13

Divide each side by '2'.
x = -6.5

Simplifying
x = -6.5
Solution
x = {0, -6.5}

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