(5x-7)(2x+1)-10(x-4)=0

Solution for (5x-7)(2x+1)-10(x-4)=0 equation:

Simplifying
(5x + -7)(2x + 1) + -10(x + -4) = 0

Reorder the terms:
(-7 + 5x)(2x + 1) + -10(x + -4) = 0

Reorder the terms:
(-7 + 5x)(1 + 2x) + -10(x + -4) = 0

Multiply (-7 + 5x) * (1 + 2x)
(-7(1 + 2x) + 5x * (1 + 2x)) + -10(x + -4) = 0
((1 * -7 + 2x * -7) + 5x * (1 + 2x)) + -10(x + -4) = 0
((-7 + -14x) + 5x * (1 + 2x)) + -10(x + -4) = 0
(-7 + -14x + (1 * 5x + 2x * 5x)) + -10(x + -4) = 0
(-7 + -14x + (5x + 10x2)) + -10(x + -4) = 0

Combine like terms: -14x + 5x = -9x
(-7 + -9x + 10x2) + -10(x + -4) = 0

Reorder the terms:
-7 + -9x + 10x2 + -10(-4 + x) = 0
-7 + -9x + 10x2 + (-4 * -10 + x * -10) = 0
-7 + -9x + 10x2 + (40 + -10x) = 0

Reorder the terms:
-7 + 40 + -9x + -10x + 10x2 = 0

Combine like terms: -7 + 40 = 33
33 + -9x + -10x + 10x2 = 0

Combine like terms: -9x + -10x = -19x
33 + -19x + 10x2 = 0

Solving
33 + -19x + 10x2 = 0

Solving for variable 'x'.

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

Divide each side by '10'.
3.3 + -1.9x + x2 = 0.0

Move the constant term to the right:

Add '-3.3' to each side of the equation.
3.3 + -1.9x + -3.3 + x2 = 0.0 + -3.3

Reorder the terms:
3.3 + -3.3 + -1.9x + x2 = 0.0 + -3.3

Combine like terms: 3.3 + -3.3 = 0.0
0.0 + -1.9x + x2 = 0.0 + -3.3
-1.9x + x2 = 0.0 + -3.3

Combine like terms: 0.0 + -3.3 = -3.3
-1.9x + x2 = -3.3

The x term is -1.9x.  Take half its coefficient (-0.95).
Square it (0.9025) and add it to both sides.

Add '0.9025' to each side of the equation.
-1.9x + 0.9025 + x2 = -3.3 + 0.9025

Reorder the terms:
0.9025 + -1.9x + x2 = -3.3 + 0.9025

Combine like terms: -3.3 + 0.9025 = -2.3975
0.9025 + -1.9x + x2 = -2.3975

Factor a perfect square on the left side:
(x + -0.95)(x + -0.95) = -2.3975

Can't calculate square root of the right side.

The solution to this equation could not be determined.