(X-4)(5x-6)+(x+7)(x-5)=1

Simple and best practice solution for (X-4)(5x-6)+(x+7)(x-5)=1 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (X-4)(5x-6)+(x+7)(x-5)=1 equation: 


Simplifying
(X + -4)(5x + -6) + (x + 7)(x + -5) = 1

Reorder the terms:
(-4 + X)(5x + -6) + (x + 7)(x + -5) = 1

Reorder the terms:
(-4 + X)(-6 + 5x) + (x + 7)(x + -5) = 1

Multiply (-4 + X) * (-6 + 5x)
(-4(-6 + 5x) + X(-6 + 5x)) + (x + 7)(x + -5) = 1
((-6 * -4 + 5x * -4) + X(-6 + 5x)) + (x + 7)(x + -5) = 1
((24 + -20x) + X(-6 + 5x)) + (x + 7)(x + -5) = 1
(24 + -20x + (-6 * X + 5x * X)) + (x + 7)(x + -5) = 1
(24 + -20x + (-6X + 5xX)) + (x + 7)(x + -5) = 1

Reorder the terms:
(24 + -6X + -20x + 5xX) + (x + 7)(x + -5) = 1
(24 + -6X + -20x + 5xX) + (x + 7)(x + -5) = 1

Reorder the terms:
24 + -6X + -20x + 5xX + (7 + x)(x + -5) = 1

Reorder the terms:
24 + -6X + -20x + 5xX + (7 + x)(-5 + x) = 1

Multiply (7 + x) * (-5 + x)
24 + -6X + -20x + 5xX + (7(-5 + x) + x(-5 + x)) = 1
24 + -6X + -20x + 5xX + ((-5 * 7 + x * 7) + x(-5 + x)) = 1
24 + -6X + -20x + 5xX + ((-35 + 7x) + x(-5 + x)) = 1
24 + -6X + -20x + 5xX + (-35 + 7x + (-5 * x + x * x)) = 1
24 + -6X + -20x + 5xX + (-35 + 7x + (-5x + x2)) = 1

Combine like terms: 7x + -5x = 2x
24 + -6X + -20x + 5xX + (-35 + 2x + x2) = 1

Reorder the terms:
24 + -35 + -6X + -20x + 2x + 5xX + x2 = 1

Combine like terms: 24 + -35 = -11
-11 + -6X + -20x + 2x + 5xX + x2 = 1

Combine like terms: -20x + 2x = -18x
-11 + -6X + -18x + 5xX + x2 = 1

Solving
-11 + -6X + -18x + 5xX + x2 = 1

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '11' to each side of the equation.
-11 + -6X + -18x + 5xX + 11 + x2 = 1 + 11

Reorder the terms:
-11 + 11 + -6X + -18x + 5xX + x2 = 1 + 11

Combine like terms: -11 + 11 = 0
0 + -6X + -18x + 5xX + x2 = 1 + 11
-6X + -18x + 5xX + x2 = 1 + 11

Combine like terms: 1 + 11 = 12
-6X + -18x + 5xX + x2 = 12

Add '18x' to each side of the equation.
-6X + -18x + 5xX + 18x + x2 = 12 + 18x

Reorder the terms:
-6X + -18x + 18x + 5xX + x2 = 12 + 18x

Combine like terms: -18x + 18x = 0
-6X + 0 + 5xX + x2 = 12 + 18x
-6X + 5xX + x2 = 12 + 18x

Add '-1x2' to each side of the equation.
-6X + 5xX + x2 + -1x2 = 12 + 18x + -1x2

Combine like terms: x2 + -1x2 = 0
-6X + 5xX + 0 = 12 + 18x + -1x2
-6X + 5xX = 12 + 18x + -1x2

Reorder the terms:
-12 + -6X + -18x + 5xX + x2 = 12 + 18x + -1x2 + -12 + -18x + x2

Reorder the terms:
-12 + -6X + -18x + 5xX + x2 = 12 + -12 + 18x + -18x + -1x2 + x2

Combine like terms: 12 + -12 = 0
-12 + -6X + -18x + 5xX + x2 = 0 + 18x + -18x + -1x2 + x2
-12 + -6X + -18x + 5xX + x2 = 18x + -18x + -1x2 + x2

Combine like terms: 18x + -18x = 0
-12 + -6X + -18x + 5xX + x2 = 0 + -1x2 + x2
-12 + -6X + -18x + 5xX + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-12 + -6X + -18x + 5xX + x2 = 0

The solution to this equation could not be determined.

See similar equations:

| 10x-6x=36 | | (X-4)(5x-6)+(x+7)(x-5)= | | 33+p=3(-5p+1)+6p | | N-0.64=1.4 | | 16w+2w-11w+4w-8w=18 | | 48.0+v=6 | | 48.0+v=66 | | -2x+4=2x-12 | | 14s-5s-8s=19 | | 14d^2+77d+84=0 | | 1.5(p+4)=p | | =6t*sin(pi*t) | | 17g-16g+2g+2g-4g=16 | | 3n=2n+9 | | 33+p=3(-5+1)+6p | | -(6h+7)+8=-19 | | 19.3x+11.36y=51.8 | | x-53=-24 | | 8x-3x-3x-x=18 | | 16x+5=20x+3 | | (3x-2)(x-9)=(x+7)(1-2x) | | 4-1/6(p-3)7 | | 9x+25y=116 | | 2-x+3=-2 | | 5p+2=4-0 | | 152/2 | | 45x^2-351x=0 | | 4z+5z-9z+z=12 | | (5x-4)(x+9)=(x+8)(6x-6) | | 19.3x+11.36y=79.4 | | 6a^3b-24ab^4= | | 3x-8=4x-r |

Equations solver categories