4x*4x-19x+15=-4x+6

Solution for 4x*4x-19x+15=-4x+6 equation:

Simplifying
4x * 4x + -19x + 15 = -4x + 6

Reorder the terms for easier multiplication:
4 * 4x * x + -19x + 15 = -4x + 6

Multiply 4 * 4
16x * x + -19x + 15 = -4x + 6

Multiply x * x
16x2 + -19x + 15 = -4x + 6

Reorder the terms:
15 + -19x + 16x2 = -4x + 6

Reorder the terms:
15 + -19x + 16x2 = 6 + -4x

Solving
15 + -19x + 16x2 = 6 + -4x

Solving for variable 'x'.

Reorder the terms:
15 + -6 + -19x + 4x + 16x2 = 6 + -4x + -6 + 4x

Combine like terms: 15 + -6 = 9
9 + -19x + 4x + 16x2 = 6 + -4x + -6 + 4x

Combine like terms: -19x + 4x = -15x
9 + -15x + 16x2 = 6 + -4x + -6 + 4x

Reorder the terms:
9 + -15x + 16x2 = 6 + -6 + -4x + 4x

Combine like terms: 6 + -6 = 0
9 + -15x + 16x2 = 0 + -4x + 4x
9 + -15x + 16x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
9 + -15x + 16x2 = 0

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

Divide each side by '16'.
0.5625 + -0.9375x + x2 = 0

Move the constant term to the right:

Add '-0.5625' to each side of the equation.
0.5625 + -0.9375x + -0.5625 + x2 = 0 + -0.5625

Reorder the terms:
0.5625 + -0.5625 + -0.9375x + x2 = 0 + -0.5625

Combine like terms: 0.5625 + -0.5625 = 0.0000
0.0000 + -0.9375x + x2 = 0 + -0.5625
-0.9375x + x2 = 0 + -0.5625

Combine like terms: 0 + -0.5625 = -0.5625
-0.9375x + x2 = -0.5625

The x term is -0.9375x.  Take half its coefficient (-0.46875).
Square it (0.2197265625) and add it to both sides.

Add '0.2197265625' to each side of the equation.
-0.9375x + 0.2197265625 + x2 = -0.5625 + 0.2197265625

Reorder the terms:
0.2197265625 + -0.9375x + x2 = -0.5625 + 0.2197265625

Combine like terms: -0.5625 + 0.2197265625 = -0.3427734375
0.2197265625 + -0.9375x + x2 = -0.3427734375

Factor a perfect square on the left side:
(x + -0.46875)(x + -0.46875) = -0.3427734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.