3x(4x-5)+7=0

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Solution for 3x(4x-5)+7=0 equation: 


Simplifying
3x(4x + -5) + 7 = 0

Reorder the terms:
3x(-5 + 4x) + 7 = 0
(-5 * 3x + 4x * 3x) + 7 = 0
(-15x + 12x2) + 7 = 0

Reorder the terms:
7 + -15x + 12x2 = 0

Solving
7 + -15x + 12x2 = 0

Solving for variable 'x'.

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

Divide each side by '12'.
0.5833333333 + -1.25x + x2 = 0

Move the constant term to the right:

Add '-0.5833333333' to each side of the equation.
0.5833333333 + -1.25x + -0.5833333333 + x2 = 0 + -0.5833333333

Reorder the terms:
0.5833333333 + -0.5833333333 + -1.25x + x2 = 0 + -0.5833333333

Combine like terms: 0.5833333333 + -0.5833333333 = 0.0000000000
0.0000000000 + -1.25x + x2 = 0 + -0.5833333333
-1.25x + x2 = 0 + -0.5833333333

Combine like terms: 0 + -0.5833333333 = -0.5833333333
-1.25x + x2 = -0.5833333333

The x term is -1.25x.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25x + 0.390625 + x2 = -0.5833333333 + 0.390625

Reorder the terms:
0.390625 + -1.25x + x2 = -0.5833333333 + 0.390625

Combine like terms: -0.5833333333 + 0.390625 = -0.1927083333
0.390625 + -1.25x + x2 = -0.1927083333

Factor a perfect square on the left side:
(x + -0.625)(x + -0.625) = -0.1927083333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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