7x*8x=5x+3(10x-2)

Solution for 7x*8x=5x+3(10x-2) equation:

Simplifying
7x * 8x = 5x + 3(10x + -2)

Reorder the terms for easier multiplication:
7 * 8x * x = 5x + 3(10x + -2)

Multiply 7 * 8
56x * x = 5x + 3(10x + -2)

Multiply x * x
56x2 = 5x + 3(10x + -2)

Reorder the terms:
56x2 = 5x + 3(-2 + 10x)
56x2 = 5x + (-2 * 3 + 10x * 3)
56x2 = 5x + (-6 + 30x)

Reorder the terms:
56x2 = -6 + 5x + 30x

Combine like terms: 5x + 30x = 35x
56x2 = -6 + 35x

Solving
56x2 = -6 + 35x

Solving for variable 'x'.

Reorder the terms:
6 + -35x + 56x2 = -6 + 35x + 6 + -35x

Reorder the terms:
6 + -35x + 56x2 = -6 + 6 + 35x + -35x

Combine like terms: -6 + 6 = 0
6 + -35x + 56x2 = 0 + 35x + -35x
6 + -35x + 56x2 = 35x + -35x

Combine like terms: 35x + -35x = 0
6 + -35x + 56x2 = 0

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

Divide each side by '56'.
0.1071428571 + -0.625x + x2 = 0

Move the constant term to the right:

Add '-0.1071428571' to each side of the equation.
0.1071428571 + -0.625x + -0.1071428571 + x2 = 0 + -0.1071428571

Reorder the terms:
0.1071428571 + -0.1071428571 + -0.625x + x2 = 0 + -0.1071428571

Combine like terms: 0.1071428571 + -0.1071428571 = 0.0000000000
0.0000000000 + -0.625x + x2 = 0 + -0.1071428571
-0.625x + x2 = 0 + -0.1071428571

Combine like terms: 0 + -0.1071428571 = -0.1071428571
-0.625x + x2 = -0.1071428571

The x term is -0.625x.  Take half its coefficient (-0.3125).
Square it (0.09765625) and add it to both sides.

Add '0.09765625' to each side of the equation.
-0.625x + 0.09765625 + x2 = -0.1071428571 + 0.09765625

Reorder the terms:
0.09765625 + -0.625x + x2 = -0.1071428571 + 0.09765625

Combine like terms: -0.1071428571 + 0.09765625 = -0.0094866071
0.09765625 + -0.625x + x2 = -0.0094866071

Factor a perfect square on the left side:
(x + -0.3125)(x + -0.3125) = -0.0094866071

Can't calculate square root of the right side.

The solution to this equation could not be determined.