15x^2+6x=14x^2-12

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Solution for 15x^2+6x=14x^2-12 equation:


Simplifying
15x2 + 6x = 14x2 + -12

Reorder the terms:
6x + 15x2 = 14x2 + -12

Reorder the terms:
6x + 15x2 = -12 + 14x2

Solving
6x + 15x2 = -12 + 14x2

Solving for variable 'x'.

Reorder the terms:
12 + 6x + 15x2 + -14x2 = -12 + 14x2 + 12 + -14x2

Combine like terms: 15x2 + -14x2 = 1x2
12 + 6x + 1x2 = -12 + 14x2 + 12 + -14x2

Reorder the terms:
12 + 6x + 1x2 = -12 + 12 + 14x2 + -14x2

Combine like terms: -12 + 12 = 0
12 + 6x + 1x2 = 0 + 14x2 + -14x2
12 + 6x + 1x2 = 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
12 + 6x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + 6x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + 6x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 6x + x2 = 0 + -12
6x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
6x + x2 = -12

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = -12 + 9

Reorder the terms:
9 + 6x + x2 = -12 + 9

Combine like terms: -12 + 9 = -3
9 + 6x + x2 = -3

Factor a perfect square on the left side:
(x + 3)(x + 3) = -3

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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