4x(5x-9)=9(x-7)

Solution for 4x(5x-9)=9(x-7) equation:

Simplifying
4x(5x + -9) = 9(x + -7)

Reorder the terms:
4x(-9 + 5x) = 9(x + -7)
(-9 * 4x + 5x * 4x) = 9(x + -7)
(-36x + 20x2) = 9(x + -7)

Reorder the terms:
-36x + 20x2 = 9(-7 + x)
-36x + 20x2 = (-7 * 9 + x * 9)
-36x + 20x2 = (-63 + 9x)

Solving
-36x + 20x2 = -63 + 9x

Solving for variable 'x'.

Reorder the terms:
63 + -36x + -9x + 20x2 = -63 + 9x + 63 + -9x

Combine like terms: -36x + -9x = -45x
63 + -45x + 20x2 = -63 + 9x + 63 + -9x

Reorder the terms:
63 + -45x + 20x2 = -63 + 63 + 9x + -9x

Combine like terms: -63 + 63 = 0
63 + -45x + 20x2 = 0 + 9x + -9x
63 + -45x + 20x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
63 + -45x + 20x2 = 0

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

Divide each side by '20'.
3.15 + -2.25x + x2 = 0.0

Move the constant term to the right:

Add '-3.15' to each side of the equation.
3.15 + -2.25x + -3.15 + x2 = 0.0 + -3.15

Reorder the terms:
3.15 + -3.15 + -2.25x + x2 = 0.0 + -3.15

Combine like terms: 3.15 + -3.15 = 0.00
0.00 + -2.25x + x2 = 0.0 + -3.15
-2.25x + x2 = 0.0 + -3.15

Combine like terms: 0.0 + -3.15 = -3.15
-2.25x + x2 = -3.15

The x term is -2.25x.  Take half its coefficient (-1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
-2.25x + 1.265625 + x2 = -3.15 + 1.265625

Reorder the terms:
1.265625 + -2.25x + x2 = -3.15 + 1.265625

Combine like terms: -3.15 + 1.265625 = -1.884375
1.265625 + -2.25x + x2 = -1.884375

Factor a perfect square on the left side:
(x + -1.125)(x + -1.125) = -1.884375

Can't calculate square root of the right side.

The solution to this equation could not be determined.