7x+3x(10x+2)=5+x

Simple and best practice solution for 7x+3x(10x+2)=5+x 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 7x+3x(10x+2)=5+x equation:


Simplifying
7x + 3x(10x + 2) = 5 + x

Reorder the terms:
7x + 3x(2 + 10x) = 5 + x
7x + (2 * 3x + 10x * 3x) = 5 + x
7x + (6x + 30x2) = 5 + x

Combine like terms: 7x + 6x = 13x
13x + 30x2 = 5 + x

Solving
13x + 30x2 = 5 + x

Solving for variable 'x'.

Reorder the terms:
-5 + 13x + -1x + 30x2 = 5 + x + -5 + -1x

Combine like terms: 13x + -1x = 12x
-5 + 12x + 30x2 = 5 + x + -5 + -1x

Reorder the terms:
-5 + 12x + 30x2 = 5 + -5 + x + -1x

Combine like terms: 5 + -5 = 0
-5 + 12x + 30x2 = 0 + x + -1x
-5 + 12x + 30x2 = x + -1x

Combine like terms: x + -1x = 0
-5 + 12x + 30x2 = 0

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

Divide each side by '30'.
-0.1666666667 + 0.4x + x2 = 0.0

Move the constant term to the right:

Add '0.1666666667' to each side of the equation.
-0.1666666667 + 0.4x + 0.1666666667 + x2 = 0.0 + 0.1666666667

Reorder the terms:
-0.1666666667 + 0.1666666667 + 0.4x + x2 = 0.0 + 0.1666666667

Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000
0.0000000000 + 0.4x + x2 = 0.0 + 0.1666666667
0.4x + x2 = 0.0 + 0.1666666667

Combine like terms: 0.0 + 0.1666666667 = 0.1666666667
0.4x + x2 = 0.1666666667

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 = 0.1666666667 + 0.04

Reorder the terms:
0.04 + 0.4x + x2 = 0.1666666667 + 0.04

Combine like terms: 0.1666666667 + 0.04 = 0.2066666667
0.04 + 0.4x + x2 = 0.2066666667

Factor a perfect square on the left side:
(x + 0.2)(x + 0.2) = 0.2066666667

Calculate the square root of the right side: 0.454606057

Break this problem into two subproblems by setting 
(x + 0.2) equal to 0.454606057 and -0.454606057.

Subproblem 1

x + 0.2 = 0.454606057 Simplifying x + 0.2 = 0.454606057 Reorder the terms: 0.2 + x = 0.454606057 Solving 0.2 + x = 0.454606057 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + x = 0.454606057 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + x = 0.454606057 + -0.2 x = 0.454606057 + -0.2 Combine like terms: 0.454606057 + -0.2 = 0.254606057 x = 0.254606057 Simplifying x = 0.254606057

Subproblem 2

x + 0.2 = -0.454606057 Simplifying x + 0.2 = -0.454606057 Reorder the terms: 0.2 + x = -0.454606057 Solving 0.2 + x = -0.454606057 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + x = -0.454606057 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + x = -0.454606057 + -0.2 x = -0.454606057 + -0.2 Combine like terms: -0.454606057 + -0.2 = -0.654606057 x = -0.654606057 Simplifying x = -0.654606057

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.254606057, -0.654606057}

See similar equations:

| X^4*5X^3= | | 3(y+6)=-4(3y-3)+5y | | 0.50x+0.15(70)=25.5 | | Y=11+3*-4 | | 8x+31-2(6-5x)=18(4-5x)+27x+28 | | 7b^2-78b+80=0 | | 2(11+3x)-x=2 | | 3/4p-7=11 | | 3a^3-8a^2-60a=0 | | Y-3x=11 | | x/7=6/5 | | b=a+b+c | | 112=4+I | | 2*(2x-1)-5(x-2)=7 | | 30x^4+258x^2-108=0 | | 5x+2(-3-2)=1-6x | | 3m^2-27m=0 | | p=144p/y | | 26+8=26 | | (-8y^2-7y)+(6y^2+2y-8)= | | 18u^4-102u^2-336=0 | | 4x^2+20x=-24 | | 4x^2+23x=-24 | | X=-1.25+0.25*3 | | 5x^4+28x^2-49=0 | | -7/10k-14=-21 | | -2(-1.25+0.25y)+3y=10 | | 30j-27j-21= | | 5x^4+47x^2+56=0 | | 17x=117 | | 2x^2+28x+196=676 | | 6n=74 |

Equations solver categories