(x+1)(3x-2)=78x^2

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Solution for (x+1)(3x-2)=78x^2 equation:


Simplifying
(x + 1)(3x + -2) = 78x2

Reorder the terms:
(1 + x)(3x + -2) = 78x2

Reorder the terms:
(1 + x)(-2 + 3x) = 78x2

Multiply (1 + x) * (-2 + 3x)
(1(-2 + 3x) + x(-2 + 3x)) = 78x2
((-2 * 1 + 3x * 1) + x(-2 + 3x)) = 78x2
((-2 + 3x) + x(-2 + 3x)) = 78x2
(-2 + 3x + (-2 * x + 3x * x)) = 78x2
(-2 + 3x + (-2x + 3x2)) = 78x2

Combine like terms: 3x + -2x = 1x
(-2 + 1x + 3x2) = 78x2

Solving
-2 + 1x + 3x2 = 78x2

Solving for variable 'x'.

Combine like terms: 3x2 + -78x2 = -75x2
-2 + 1x + -75x2 = 78x2 + -78x2

Combine like terms: 78x2 + -78x2 = 0
-2 + 1x + -75x2 = 0

Begin completing the square.  Divide all terms by
-75 the coefficient of the squared term: 

Divide each side by '-75'.
0.02666666667 + -0.01333333333x + x2 = 0

Move the constant term to the right:

Add '-0.02666666667' to each side of the equation.
0.02666666667 + -0.01333333333x + -0.02666666667 + x2 = 0 + -0.02666666667

Reorder the terms:
0.02666666667 + -0.02666666667 + -0.01333333333x + x2 = 0 + -0.02666666667

Combine like terms: 0.02666666667 + -0.02666666667 = 0.00000000000
0.00000000000 + -0.01333333333x + x2 = 0 + -0.02666666667
-0.01333333333x + x2 = 0 + -0.02666666667

Combine like terms: 0 + -0.02666666667 = -0.02666666667
-0.01333333333x + x2 = -0.02666666667

The x term is -0.01333333333x.  Take half its coefficient (-0.006666666665).
Square it (0.00004444444442) and add it to both sides.

Add '0.00004444444442' to each side of the equation.
-0.01333333333x + 0.00004444444442 + x2 = -0.02666666667 + 0.00004444444442

Reorder the terms:
0.00004444444442 + -0.01333333333x + x2 = -0.02666666667 + 0.00004444444442

Combine like terms: -0.02666666667 + 0.00004444444442 = -0.02662222222558
0.00004444444442 + -0.01333333333x + x2 = -0.02662222222558

Factor a perfect square on the left side:
(x + -0.006666666665)(x + -0.006666666665) = -0.02662222222558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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