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

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

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

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

Multiply (1 + -5x) * (-3 + x)
2(1(-3 + x) + -5x * (-3 + x)) + -3(3 + -5x)(x + -3) = 4(3 + -5x)
2((-3 * 1 + x * 1) + -5x * (-3 + x)) + -3(3 + -5x)(x + -3) = 4(3 + -5x)
2((-3 + 1x) + -5x * (-3 + x)) + -3(3 + -5x)(x + -3) = 4(3 + -5x)
2(-3 + 1x + (-3 * -5x + x * -5x)) + -3(3 + -5x)(x + -3) = 4(3 + -5x)
2(-3 + 1x + (15x + -5x2)) + -3(3 + -5x)(x + -3) = 4(3 + -5x)

Combine like terms: 1x + 15x = 16x
2(-3 + 16x + -5x2) + -3(3 + -5x)(x + -3) = 4(3 + -5x)
(-3 * 2 + 16x * 2 + -5x2 * 2) + -3(3 + -5x)(x + -3) = 4(3 + -5x)
(-6 + 32x + -10x2) + -3(3 + -5x)(x + -3) = 4(3 + -5x)

Reorder the terms:
-6 + 32x + -10x2 + -3(3 + -5x)(-3 + x) = 4(3 + -5x)

Multiply (3 + -5x) * (-3 + x)
-6 + 32x + -10x2 + -3(3(-3 + x) + -5x * (-3 + x)) = 4(3 + -5x)
-6 + 32x + -10x2 + -3((-3 * 3 + x * 3) + -5x * (-3 + x)) = 4(3 + -5x)
-6 + 32x + -10x2 + -3((-9 + 3x) + -5x * (-3 + x)) = 4(3 + -5x)
-6 + 32x + -10x2 + -3(-9 + 3x + (-3 * -5x + x * -5x)) = 4(3 + -5x)
-6 + 32x + -10x2 + -3(-9 + 3x + (15x + -5x2)) = 4(3 + -5x)

Combine like terms: 3x + 15x = 18x
-6 + 32x + -10x2 + -3(-9 + 18x + -5x2) = 4(3 + -5x)
-6 + 32x + -10x2 + (-9 * -3 + 18x * -3 + -5x2 * -3) = 4(3 + -5x)
-6 + 32x + -10x2 + (27 + -54x + 15x2) = 4(3 + -5x)

Reorder the terms:
-6 + 27 + 32x + -54x + -10x2 + 15x2 = 4(3 + -5x)

Combine like terms: -6 + 27 = 21
21 + 32x + -54x + -10x2 + 15x2 = 4(3 + -5x)

Combine like terms: 32x + -54x = -22x
21 + -22x + -10x2 + 15x2 = 4(3 + -5x)

Combine like terms: -10x2 + 15x2 = 5x2
21 + -22x + 5x2 = 4(3 + -5x)
21 + -22x + 5x2 = (3 * 4 + -5x * 4)
21 + -22x + 5x2 = (12 + -20x)

Solving
21 + -22x + 5x2 = 12 + -20x

Solving for variable 'x'.

Reorder the terms:
21 + -12 + -22x + 20x + 5x2 = 12 + -20x + -12 + 20x

Combine like terms: 21 + -12 = 9
9 + -22x + 20x + 5x2 = 12 + -20x + -12 + 20x

Combine like terms: -22x + 20x = -2x
9 + -2x + 5x2 = 12 + -20x + -12 + 20x

Reorder the terms:
9 + -2x + 5x2 = 12 + -12 + -20x + 20x

Combine like terms: 12 + -12 = 0
9 + -2x + 5x2 = 0 + -20x + 20x
9 + -2x + 5x2 = -20x + 20x

Combine like terms: -20x + 20x = 0
9 + -2x + 5x2 = 0

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

Divide each side by '5'.
1.8 + -0.4x + x2 = 0

Move the constant term to the right:

Add '-1.8' to each side of the equation.
1.8 + -0.4x + -1.8 + x2 = 0 + -1.8

Reorder the terms:
1.8 + -1.8 + -0.4x + x2 = 0 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -0.4x + x2 = 0 + -1.8
-0.4x + x2 = 0 + -1.8

Combine like terms: 0 + -1.8 = -1.8
-0.4x + x2 = -1.8

The x term is -0.4x.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4x + 0.04 + x2 = -1.8 + 0.04

Reorder the terms:
0.04 + -0.4x + x2 = -1.8 + 0.04

Combine like terms: -1.8 + 0.04 = -1.76
0.04 + -0.4x + x2 = -1.76

Factor a perfect square on the left side:
(x + -0.2)(x + -0.2) = -1.76

Can't calculate square root of the right side.

The solution to this equation could not be determined.