2x^2+5x+4a=0

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Solution for 2x^2+5x+4a=0 equation:


Simplifying
2x2 + 5x + 4a = 0

Reorder the terms:
4a + 5x + 2x2 = 0

Solving
4a + 5x + 2x2 = 0

Solving for variable 'a'.

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

Add '-5x' to each side of the equation.
4a + 5x + -5x + 2x2 = 0 + -5x

Combine like terms: 5x + -5x = 0
4a + 0 + 2x2 = 0 + -5x
4a + 2x2 = 0 + -5x
Remove the zero:
4a + 2x2 = -5x

Add '-2x2' to each side of the equation.
4a + 2x2 + -2x2 = -5x + -2x2

Combine like terms: 2x2 + -2x2 = 0
4a + 0 = -5x + -2x2
4a = -5x + -2x2

Divide each side by '4'.
a = -1.25x + -0.5x2

Simplifying
a = -1.25x + -0.5x2

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