x^2+8x+10+3a=0

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Solution for x^2+8x+10+3a=0 equation:


Simplifying
x2 + 8x + 10 + 3a = 0

Reorder the terms:
10 + 3a + 8x + x2 = 0

Solving
10 + 3a + 8x + x2 = 0

Solving for variable 'a'.

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

Add '-10' to each side of the equation.
10 + 3a + 8x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + 3a + 8x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3a + 8x + x2 = 0 + -10
3a + 8x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
3a + 8x + x2 = -10

Add '-8x' to each side of the equation.
3a + 8x + -8x + x2 = -10 + -8x

Combine like terms: 8x + -8x = 0
3a + 0 + x2 = -10 + -8x
3a + x2 = -10 + -8x

Add '-1x2' to each side of the equation.
3a + x2 + -1x2 = -10 + -8x + -1x2

Combine like terms: x2 + -1x2 = 0
3a + 0 = -10 + -8x + -1x2
3a = -10 + -8x + -1x2

Divide each side by '3'.
a = -3.333333333 + -2.666666667x + -0.3333333333x2

Simplifying
a = -3.333333333 + -2.666666667x + -0.3333333333x2

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