1102=(x+10-2)(x-2)(3)

Simple and best practice solution for 1102=(x+10-2)(x-2)(3) 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 1102=(x+10-2)(x-2)(3) equation:


Simplifying
1102 = (x + 10 + -2)(x + -2)(3)

Reorder the terms:
1102 = (10 + -2 + x)(x + -2)(3)

Combine like terms: 10 + -2 = 8
1102 = (8 + x)(x + -2)(3)

Reorder the terms:
1102 = (8 + x)(-2 + x)(3)

Reorder the terms for easier multiplication:
1102 = 3(8 + x)(-2 + x)

Multiply (8 + x) * (-2 + x)
1102 = 3(8(-2 + x) + x(-2 + x))
1102 = 3((-2 * 8 + x * 8) + x(-2 + x))
1102 = 3((-16 + 8x) + x(-2 + x))
1102 = 3(-16 + 8x + (-2 * x + x * x))
1102 = 3(-16 + 8x + (-2x + x2))

Combine like terms: 8x + -2x = 6x
1102 = 3(-16 + 6x + x2)
1102 = (-16 * 3 + 6x * 3 + x2 * 3)
1102 = (-48 + 18x + 3x2)

Solving
1102 = -48 + 18x + 3x2

Solving for variable 'x'.

Combine like terms: 1102 + 48 = 1150
1150 + -18x + -3x2 = -48 + 18x + 3x2 + 48 + -18x + -3x2

Reorder the terms:
1150 + -18x + -3x2 = -48 + 48 + 18x + -18x + 3x2 + -3x2

Combine like terms: -48 + 48 = 0
1150 + -18x + -3x2 = 0 + 18x + -18x + 3x2 + -3x2
1150 + -18x + -3x2 = 18x + -18x + 3x2 + -3x2

Combine like terms: 18x + -18x = 0
1150 + -18x + -3x2 = 0 + 3x2 + -3x2
1150 + -18x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
1150 + -18x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
-383.3333333 + 6x + x2 = 0

Move the constant term to the right:

Add '383.3333333' to each side of the equation.
-383.3333333 + 6x + 383.3333333 + x2 = 0 + 383.3333333

Reorder the terms:
-383.3333333 + 383.3333333 + 6x + x2 = 0 + 383.3333333

Combine like terms: -383.3333333 + 383.3333333 = 0.0000000
0.0000000 + 6x + x2 = 0 + 383.3333333
6x + x2 = 0 + 383.3333333

Combine like terms: 0 + 383.3333333 = 383.3333333
6x + x2 = 383.3333333

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = 383.3333333 + 9

Reorder the terms:
9 + 6x + x2 = 383.3333333 + 9

Combine like terms: 383.3333333 + 9 = 392.3333333
9 + 6x + x2 = 392.3333333

Factor a perfect square on the left side:
(x + 3)(x + 3) = 392.3333333

Calculate the square root of the right side: 19.807406021

Break this problem into two subproblems by setting 
(x + 3) equal to 19.807406021 and -19.807406021.

Subproblem 1

x + 3 = 19.807406021 Simplifying x + 3 = 19.807406021 Reorder the terms: 3 + x = 19.807406021 Solving 3 + x = 19.807406021 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 19.807406021 + -3 Combine like terms: 3 + -3 = 0 0 + x = 19.807406021 + -3 x = 19.807406021 + -3 Combine like terms: 19.807406021 + -3 = 16.807406021 x = 16.807406021 Simplifying x = 16.807406021

Subproblem 2

x + 3 = -19.807406021 Simplifying x + 3 = -19.807406021 Reorder the terms: 3 + x = -19.807406021 Solving 3 + x = -19.807406021 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = -19.807406021 + -3 Combine like terms: 3 + -3 = 0 0 + x = -19.807406021 + -3 x = -19.807406021 + -3 Combine like terms: -19.807406021 + -3 = -22.807406021 x = -22.807406021 Simplifying x = -22.807406021

Solution

The solution to the problem is based on the solutions from the subproblems. x = {16.807406021, -22.807406021}

See similar equations:

| y=i*lni | | Y=0.25x+7.50 | | 2106=(x+30-6)(x-6)(3) | | Y=0.25+7.50 | | (1-2x²-2y)dy/dx-4xy=4x³ | | 2106=(x+30-4)(x-4)(6) | | 3y+y+8=180 | | 4x³=(1-2x²-2y)dy/dx-4xy | | 6+-7x=20+7x | | 2/9w-3=4/7 | | 15x^2(1-x^2)=0 | | (3y+7)=(1-2x)dx | | (28-2x)(11-2x)=234 | | -14x=-3 | | 4x^3+4xy^2+4x=0 | | f(0)=.41ln(0+1)+28 | | (2y^4)(6y^3)= | | (15-2x)(14-2x)=110 | | (3y+7)dy=(1-2x)dx | | -0.8(x^2)+36x-202.5=0 | | x+(2x+14)=74 | | (22-2x)(15-2x)=260 | | (4+7)+9=4+(x+9) | | 8w=4480 | | 5-2lnx=2 | | 80/5600=x/7700 | | 3x/5-18x/5 | | 2(3x+2)A=100 | | 3x-16=-67 | | 7/8=k-11/24 | | 3x-y=74 | | 4(x-2)-12(1)=3(x-7) |

Equations solver categories