6x*2-5x-46=5x^2-10

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Solution for 6x*2-5x-46=5x^2-10 equation: 


Simplifying
6x * 2 + -5x + -46 = 5x2 + -10

Reorder the terms for easier multiplication:
6 * 2x + -5x + -46 = 5x2 + -10

Multiply 6 * 2
12x + -5x + -46 = 5x2 + -10

Reorder the terms:
-46 + 12x + -5x = 5x2 + -10

Combine like terms: 12x + -5x = 7x
-46 + 7x = 5x2 + -10

Reorder the terms:
-46 + 7x = -10 + 5x2

Solving
-46 + 7x = -10 + 5x2

Solving for variable 'x'.

Reorder the terms:
-46 + 10 + 7x + -5x2 = -10 + 5x2 + 10 + -5x2

Combine like terms: -46 + 10 = -36
-36 + 7x + -5x2 = -10 + 5x2 + 10 + -5x2

Reorder the terms:
-36 + 7x + -5x2 = -10 + 10 + 5x2 + -5x2

Combine like terms: -10 + 10 = 0
-36 + 7x + -5x2 = 0 + 5x2 + -5x2
-36 + 7x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-36 + 7x + -5x2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
7.2 + -1.4x + x2 = 0

Move the constant term to the right:

Add '-7.2' to each side of the equation.
7.2 + -1.4x + -7.2 + x2 = 0 + -7.2

Reorder the terms:
7.2 + -7.2 + -1.4x + x2 = 0 + -7.2

Combine like terms: 7.2 + -7.2 = 0.0
0.0 + -1.4x + x2 = 0 + -7.2
-1.4x + x2 = 0 + -7.2

Combine like terms: 0 + -7.2 = -7.2
-1.4x + x2 = -7.2

The x term is -1.4x.  Take half its coefficient (-0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
-1.4x + 0.49 + x2 = -7.2 + 0.49

Reorder the terms:
0.49 + -1.4x + x2 = -7.2 + 0.49

Combine like terms: -7.2 + 0.49 = -6.71
0.49 + -1.4x + x2 = -6.71

Factor a perfect square on the left side:
(x + -0.7)(x + -0.7) = -6.71

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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