18a^2-3a=3-7

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Solution for 18a^2-3a=3-7 equation:


Simplifying
18a2 + -3a = 3 + -7

Reorder the terms:
-3a + 18a2 = 3 + -7

Combine like terms: 3 + -7 = -4
-3a + 18a2 = -4

Solving
-3a + 18a2 = -4

Solving for variable 'a'.

Reorder the terms:
4 + -3a + 18a2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -3a + 18a2 = 0

Begin completing the square.  Divide all terms by
18 the coefficient of the squared term: 

Divide each side by '18'.
0.2222222222 + -0.1666666667a + a2 = 0

Move the constant term to the right:

Add '-0.2222222222' to each side of the equation.
0.2222222222 + -0.1666666667a + -0.2222222222 + a2 = 0 + -0.2222222222

Reorder the terms:
0.2222222222 + -0.2222222222 + -0.1666666667a + a2 = 0 + -0.2222222222

Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000
0.0000000000 + -0.1666666667a + a2 = 0 + -0.2222222222
-0.1666666667a + a2 = 0 + -0.2222222222

Combine like terms: 0 + -0.2222222222 = -0.2222222222
-0.1666666667a + a2 = -0.2222222222

The a term is -0.1666666667a.  Take half its coefficient (-0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
-0.1666666667a + 0.006944444447 + a2 = -0.2222222222 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667a + a2 = -0.2222222222 + 0.006944444447

Combine like terms: -0.2222222222 + 0.006944444447 = -0.215277777753
0.006944444447 + -0.1666666667a + a2 = -0.215277777753

Factor a perfect square on the left side:
(a + -0.08333333335)(a + -0.08333333335) = -0.215277777753

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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