3x(5x-5)=7x^2-16

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Solution for 3x(5x-5)=7x^2-16 equation: 


Simplifying
3x(5x + -5) = 7x2 + -16

Reorder the terms:
3x(-5 + 5x) = 7x2 + -16
(-5 * 3x + 5x * 3x) = 7x2 + -16
(-15x + 15x2) = 7x2 + -16

Reorder the terms:
-15x + 15x2 = -16 + 7x2

Solving
-15x + 15x2 = -16 + 7x2

Solving for variable 'x'.

Reorder the terms:
16 + -15x + 15x2 + -7x2 = -16 + 7x2 + 16 + -7x2

Combine like terms: 15x2 + -7x2 = 8x2
16 + -15x + 8x2 = -16 + 7x2 + 16 + -7x2

Reorder the terms:
16 + -15x + 8x2 = -16 + 16 + 7x2 + -7x2

Combine like terms: -16 + 16 = 0
16 + -15x + 8x2 = 0 + 7x2 + -7x2
16 + -15x + 8x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
16 + -15x + 8x2 = 0

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

Divide each side by '8'.
2 + -1.875x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -1.875x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -1.875x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1.875x + x2 = 0 + -2
-1.875x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1.875x + x2 = -2

The x term is -1.875x.  Take half its coefficient (-0.9375).
Square it (0.87890625) and add it to both sides.

Add '0.87890625' to each side of the equation.
-1.875x + 0.87890625 + x2 = -2 + 0.87890625

Reorder the terms:
0.87890625 + -1.875x + x2 = -2 + 0.87890625

Combine like terms: -2 + 0.87890625 = -1.12109375
0.87890625 + -1.875x + x2 = -1.12109375

Factor a perfect square on the left side:
(x + -0.9375)(x + -0.9375) = -1.12109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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