(5x-4)(2x-1)-(x-7)(3x+5)=

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Solution for (5x-4)(2x-1)-(x-7)(3x+5)= equation: 


Simplifying
(5x + -4)(2x + -1) + -1(x + -7)(3x + 5) = 0

Reorder the terms:
(-4 + 5x)(2x + -1) + -1(x + -7)(3x + 5) = 0

Reorder the terms:
(-4 + 5x)(-1 + 2x) + -1(x + -7)(3x + 5) = 0

Multiply (-4 + 5x) * (-1 + 2x)
(-4(-1 + 2x) + 5x * (-1 + 2x)) + -1(x + -7)(3x + 5) = 0
((-1 * -4 + 2x * -4) + 5x * (-1 + 2x)) + -1(x + -7)(3x + 5) = 0
((4 + -8x) + 5x * (-1 + 2x)) + -1(x + -7)(3x + 5) = 0
(4 + -8x + (-1 * 5x + 2x * 5x)) + -1(x + -7)(3x + 5) = 0
(4 + -8x + (-5x + 10x2)) + -1(x + -7)(3x + 5) = 0

Combine like terms: -8x + -5x = -13x
(4 + -13x + 10x2) + -1(x + -7)(3x + 5) = 0

Reorder the terms:
4 + -13x + 10x2 + -1(-7 + x)(3x + 5) = 0

Reorder the terms:
4 + -13x + 10x2 + -1(-7 + x)(5 + 3x) = 0

Multiply (-7 + x) * (5 + 3x)
4 + -13x + 10x2 + -1(-7(5 + 3x) + x(5 + 3x)) = 0
4 + -13x + 10x2 + -1((5 * -7 + 3x * -7) + x(5 + 3x)) = 0
4 + -13x + 10x2 + -1((-35 + -21x) + x(5 + 3x)) = 0
4 + -13x + 10x2 + -1(-35 + -21x + (5 * x + 3x * x)) = 0
4 + -13x + 10x2 + -1(-35 + -21x + (5x + 3x2)) = 0

Combine like terms: -21x + 5x = -16x
4 + -13x + 10x2 + -1(-35 + -16x + 3x2) = 0
4 + -13x + 10x2 + (-35 * -1 + -16x * -1 + 3x2 * -1) = 0
4 + -13x + 10x2 + (35 + 16x + -3x2) = 0

Reorder the terms:
4 + 35 + -13x + 16x + 10x2 + -3x2 = 0

Combine like terms: 4 + 35 = 39
39 + -13x + 16x + 10x2 + -3x2 = 0

Combine like terms: -13x + 16x = 3x
39 + 3x + 10x2 + -3x2 = 0

Combine like terms: 10x2 + -3x2 = 7x2
39 + 3x + 7x2 = 0

Solving
39 + 3x + 7x2 = 0

Solving for variable 'x'.

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

Divide each side by '7'.
5.571428571 + 0.4285714286x + x2 = 0

Move the constant term to the right:

Add '-5.571428571' to each side of the equation.
5.571428571 + 0.4285714286x + -5.571428571 + x2 = 0 + -5.571428571

Reorder the terms:
5.571428571 + -5.571428571 + 0.4285714286x + x2 = 0 + -5.571428571

Combine like terms: 5.571428571 + -5.571428571 = 0.000000000
0.000000000 + 0.4285714286x + x2 = 0 + -5.571428571
0.4285714286x + x2 = 0 + -5.571428571

Combine like terms: 0 + -5.571428571 = -5.571428571
0.4285714286x + x2 = -5.571428571

The x term is 0.4285714286x.  Take half its coefficient (0.2142857143).
Square it (0.04591836735) and add it to both sides.

Add '0.04591836735' to each side of the equation.
0.4285714286x + 0.04591836735 + x2 = -5.571428571 + 0.04591836735

Reorder the terms:
0.04591836735 + 0.4285714286x + x2 = -5.571428571 + 0.04591836735

Combine like terms: -5.571428571 + 0.04591836735 = -5.52551020365
0.04591836735 + 0.4285714286x + x2 = -5.52551020365

Factor a perfect square on the left side:
(x + 0.2142857143)(x + 0.2142857143) = -5.52551020365

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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