-6x^2=-15x+14

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


Simplifying
-6x2 = -15x + 14

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

Solving
-6x2 = 14 + -15x

Solving for variable 'x'.

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

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

Combine like terms: 14 + -14 = 0
-14 + 15x + -6x2 = 0 + -15x + 15x
-14 + 15x + -6x2 = -15x + 15x

Combine like terms: -15x + 15x = 0
-14 + 15x + -6x2 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
2.333333333 + -2.5x + x2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + -2.5x + -2.333333333 + x2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + -2.5x + x2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + -2.5x + x2 = 0 + -2.333333333
-2.5x + x2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
-2.5x + x2 = -2.333333333

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = -2.333333333 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = -2.333333333 + 1.5625

Combine like terms: -2.333333333 + 1.5625 = -0.770833333
1.5625 + -2.5x + x2 = -0.770833333

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = -0.770833333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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