(7-3x)(9-4x)=10x-38

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Solution for (7-3x)(9-4x)=10x-38 equation: 


Simplifying
(7 + -3x)(9 + -4x) = 10x + -38

Multiply (7 + -3x) * (9 + -4x)
(7(9 + -4x) + -3x * (9 + -4x)) = 10x + -38
((9 * 7 + -4x * 7) + -3x * (9 + -4x)) = 10x + -38
((63 + -28x) + -3x * (9 + -4x)) = 10x + -38
(63 + -28x + (9 * -3x + -4x * -3x)) = 10x + -38
(63 + -28x + (-27x + 12x2)) = 10x + -38

Combine like terms: -28x + -27x = -55x
(63 + -55x + 12x2) = 10x + -38

Reorder the terms:
63 + -55x + 12x2 = -38 + 10x

Solving
63 + -55x + 12x2 = -38 + 10x

Solving for variable 'x'.

Reorder the terms:
63 + 38 + -55x + -10x + 12x2 = -38 + 10x + 38 + -10x

Combine like terms: 63 + 38 = 101
101 + -55x + -10x + 12x2 = -38 + 10x + 38 + -10x

Combine like terms: -55x + -10x = -65x
101 + -65x + 12x2 = -38 + 10x + 38 + -10x

Reorder the terms:
101 + -65x + 12x2 = -38 + 38 + 10x + -10x

Combine like terms: -38 + 38 = 0
101 + -65x + 12x2 = 0 + 10x + -10x
101 + -65x + 12x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
101 + -65x + 12x2 = 0

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

Divide each side by '12'.
8.416666667 + -5.416666667x + x2 = 0

Move the constant term to the right:

Add '-8.416666667' to each side of the equation.
8.416666667 + -5.416666667x + -8.416666667 + x2 = 0 + -8.416666667

Reorder the terms:
8.416666667 + -8.416666667 + -5.416666667x + x2 = 0 + -8.416666667

Combine like terms: 8.416666667 + -8.416666667 = 0.000000000
0.000000000 + -5.416666667x + x2 = 0 + -8.416666667
-5.416666667x + x2 = 0 + -8.416666667

Combine like terms: 0 + -8.416666667 = -8.416666667
-5.416666667x + x2 = -8.416666667

The x term is -5.416666667x.  Take half its coefficient (-2.708333334).
Square it (7.335069448) and add it to both sides.

Add '7.335069448' to each side of the equation.
-5.416666667x + 7.335069448 + x2 = -8.416666667 + 7.335069448

Reorder the terms:
7.335069448 + -5.416666667x + x2 = -8.416666667 + 7.335069448

Combine like terms: -8.416666667 + 7.335069448 = -1.081597219
7.335069448 + -5.416666667x + x2 = -1.081597219

Factor a perfect square on the left side:
(x + -2.708333334)(x + -2.708333334) = -1.081597219

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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