.5(x+4)(x)=35

Simple and best practice solution for .5(x+4)(x)=35 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 .5(x+4)(x)=35 equation:


Simplifying
0.5(x + 4)(x) = 35

Reorder the terms:
0.5(4 + x)(x) = 35

Reorder the terms for easier multiplication:
0.5x(4 + x) = 35
(4 * 0.5x + x * 0.5x) = 35
(2x + 0.5x2) = 35

Solving
2x + 0.5x2 = 35

Solving for variable 'x'.

Reorder the terms:
-35 + 2x + 0.5x2 = 35 + -35

Combine like terms: 35 + -35 = 0
-35 + 2x + 0.5x2 = 0

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

Divide each side by '0.5'.
-70 + 4x + x2 = 0

Move the constant term to the right:

Add '70' to each side of the equation.
-70 + 4x + 70 + x2 = 0 + 70

Reorder the terms:
-70 + 70 + 4x + x2 = 0 + 70

Combine like terms: -70 + 70 = 0
0 + 4x + x2 = 0 + 70
4x + x2 = 0 + 70

Combine like terms: 0 + 70 = 70
4x + x2 = 70

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 70 + 4

Reorder the terms:
4 + 4x + x2 = 70 + 4

Combine like terms: 70 + 4 = 74
4 + 4x + x2 = 74

Factor a perfect square on the left side:
(x + 2)(x + 2) = 74

Calculate the square root of the right side: 8.602325267

Break this problem into two subproblems by setting 
(x + 2) equal to 8.602325267 and -8.602325267.

Subproblem 1

x + 2 = 8.602325267 Simplifying x + 2 = 8.602325267 Reorder the terms: 2 + x = 8.602325267 Solving 2 + x = 8.602325267 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 8.602325267 + -2 Combine like terms: 2 + -2 = 0 0 + x = 8.602325267 + -2 x = 8.602325267 + -2 Combine like terms: 8.602325267 + -2 = 6.602325267 x = 6.602325267 Simplifying x = 6.602325267

Subproblem 2

x + 2 = -8.602325267 Simplifying x + 2 = -8.602325267 Reorder the terms: 2 + x = -8.602325267 Solving 2 + x = -8.602325267 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = -8.602325267 + -2 Combine like terms: 2 + -2 = 0 0 + x = -8.602325267 + -2 x = -8.602325267 + -2 Combine like terms: -8.602325267 + -2 = -10.602325267 x = -10.602325267 Simplifying x = -10.602325267

Solution

The solution to the problem is based on the solutions from the subproblems. x = {6.602325267, -10.602325267}

See similar equations:

| .5(x+4)(x)=0 | | 3(5-y)/5-6y | | 4/5-1/15x4/3 | | x^2(180-x)=561600 | | 8x+48=9x+36 | | P/9=32 | | 8x-24=12x-36 | | a+12=b-18 | | 8x+24=12x+36 | | f(x)=7x^3-x^2+4x | | -5x+7=-2x-5 | | =6/7m=-24 | | -x+3+4x=0 | | 3x+4x-8= | | 3x-y=45 | | 6(x-2)-8(x-3)=2(4+x) | | 30y+6=16 | | 4+x-2x=3-3x | | 0=300-500x-20x^2 | | 14y-4=12y+8 | | 2x-(2-x)(4+x)=-(2-x)(2+x) | | 4x-7=2(x-2) | | 9cosx-9=0 | | 2x-6-x=6x+8-24 | | 4x+3x-5=1-x-3x | | y=4x^2-7x+1 | | X-21/100=110.000 | | -7/2t-2=-4-7 | | 1,5x+1=5,5 | | (9/4)*2 | | 4m+4p=52 | | 75-x+5(2x-10)-4x=125 |

Equations solver categories