2x^2+7a+5a^2=0

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Solution for 2x^2+7a+5a^2=0 equation: 


Simplifying
2x2 + 7a + 5a2 = 0

Reorder the terms:
7a + 5a2 + 2x2 = 0

Solving
7a + 5a2 + 2x2 = 0

Solving for variable 'a'.

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


Subproblem 1
Set the factor '(5a + 2x)' equal to zero and attempt to solve:

Simplifying
5a + 2x = 0

Solving
5a + 2x = 0

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

Add '-2x' to each side of the equation.
5a + 2x + -2x = 0 + -2x

Combine like terms: 2x + -2x = 0
5a + 0 = 0 + -2x
5a = 0 + -2x
Remove the zero:
5a = -2x

Divide each side by '5'.
a = -0.4x

Simplifying
a = -0.4x

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

Simplifying
a + x = 0

Solving
a + x = 0

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

Add '-1x' to each side of the equation.
a + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
a + 0 = 0 + -1x
a = 0 + -1x
Remove the zero:
a = -1x

Simplifying
a = -1x
Solution
a = {-0.4x, -1x}

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