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

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

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

Reorder the terms:
4x(-3 + x) = 9(x + -7)
(-3 * 4x + x * 4x) = 9(x + -7)
(-12x + 4x2) = 9(x + -7)

Reorder the terms:
-12x + 4x2 = 9(-7 + x)
-12x + 4x2 = (-7 * 9 + x * 9)
-12x + 4x2 = (-63 + 9x)

Solving
-12x + 4x2 = -63 + 9x

Solving for variable 'x'.

Reorder the terms:
63 + -12x + -9x + 4x2 = -63 + 9x + 63 + -9x

Combine like terms: -12x + -9x = -21x
63 + -21x + 4x2 = -63 + 9x + 63 + -9x

Reorder the terms:
63 + -21x + 4x2 = -63 + 63 + 9x + -9x

Combine like terms: -63 + 63 = 0
63 + -21x + 4x2 = 0 + 9x + -9x
63 + -21x + 4x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
63 + -21x + 4x2 = 0

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

Divide each side by '4'.
15.75 + -5.25x + x2 = 0

Move the constant term to the right:

Add '-15.75' to each side of the equation.
15.75 + -5.25x + -15.75 + x2 = 0 + -15.75

Reorder the terms:
15.75 + -15.75 + -5.25x + x2 = 0 + -15.75

Combine like terms: 15.75 + -15.75 = 0.00
0.00 + -5.25x + x2 = 0 + -15.75
-5.25x + x2 = 0 + -15.75

Combine like terms: 0 + -15.75 = -15.75
-5.25x + x2 = -15.75

The x term is -5.25x.  Take half its coefficient (-2.625).
Square it (6.890625) and add it to both sides.

Add '6.890625' to each side of the equation.
-5.25x + 6.890625 + x2 = -15.75 + 6.890625

Reorder the terms:
6.890625 + -5.25x + x2 = -15.75 + 6.890625

Combine like terms: -15.75 + 6.890625 = -8.859375
6.890625 + -5.25x + x2 = -8.859375

Factor a perfect square on the left side:
(x + -2.625)(x + -2.625) = -8.859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.