2x(3+x)+3(x-5)=

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


Simplifying
2x(3 + x) + 3(x + -5) = 0
(3 * 2x + x * 2x) + 3(x + -5) = 0
(6x + 2x2) + 3(x + -5) = 0

Reorder the terms:
6x + 2x2 + 3(-5 + x) = 0
6x + 2x2 + (-5 * 3 + x * 3) = 0
6x + 2x2 + (-15 + 3x) = 0

Reorder the terms:
-15 + 6x + 3x + 2x2 = 0

Combine like terms: 6x + 3x = 9x
-15 + 9x + 2x2 = 0

Solving
-15 + 9x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
-7.5 + 4.5x + x2 = 0

Move the constant term to the right:

Add '7.5' to each side of the equation.
-7.5 + 4.5x + 7.5 + x2 = 0 + 7.5

Reorder the terms:
-7.5 + 7.5 + 4.5x + x2 = 0 + 7.5

Combine like terms: -7.5 + 7.5 = 0.0
0.0 + 4.5x + x2 = 0 + 7.5
4.5x + x2 = 0 + 7.5

Combine like terms: 0 + 7.5 = 7.5
4.5x + x2 = 7.5

The x term is 4.5x.  Take half its coefficient (2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
4.5x + 5.0625 + x2 = 7.5 + 5.0625

Reorder the terms:
5.0625 + 4.5x + x2 = 7.5 + 5.0625

Combine like terms: 7.5 + 5.0625 = 12.5625
5.0625 + 4.5x + x2 = 12.5625

Factor a perfect square on the left side:
(x + 2.25)(x + 2.25) = 12.5625

Calculate the square root of the right side: 3.54436172

Break this problem into two subproblems by setting 
(x + 2.25) equal to 3.54436172 and -3.54436172.

Subproblem 1

x + 2.25 = 3.54436172 Simplifying x + 2.25 = 3.54436172 Reorder the terms: 2.25 + x = 3.54436172 Solving 2.25 + x = 3.54436172 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + x = 3.54436172 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + x = 3.54436172 + -2.25 x = 3.54436172 + -2.25 Combine like terms: 3.54436172 + -2.25 = 1.29436172 x = 1.29436172 Simplifying x = 1.29436172

Subproblem 2

x + 2.25 = -3.54436172 Simplifying x + 2.25 = -3.54436172 Reorder the terms: 2.25 + x = -3.54436172 Solving 2.25 + x = -3.54436172 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + x = -3.54436172 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + x = -3.54436172 + -2.25 x = -3.54436172 + -2.25 Combine like terms: -3.54436172 + -2.25 = -5.79436172 x = -5.79436172 Simplifying x = -5.79436172

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.29436172, -5.79436172}

See similar equations:

| 6(y-1)=2y+6 | | 9(x-1)+2=6x+3(-1+x) | | 2/5x-1/2x=2 | | 8-2x=46 | | (4x^2)+3x= | | 5b+7=7v+6 | | x+22+x+22=98 | | 14/15a=1/15a+4/5 | | 47x-7=6(7x-1)+5x-1 | | 4x+41-6x=2-9x+4 | | 50x+100=40x+250 | | X/2-17=-13 | | x+16.7=-2.4 | | 48.3x+31.5-11.8x+21.4= | | 11+4z=9+4z | | 8x-8/4=7 | | 7(x-1)+1=5x+2(-1+x) | | 3y+12=-y-12 | | 7(x-5)=70 | | 5x-2=-4x-5/2 | | 5(x+6)-x=4(x+7)+2 | | -5=3-z-z | | 38x-12=7(5x-2)+3x+2 | | P(t)=t^3-11t^2+4t+16 | | 44x-(14x-98)= | | 100x^2+9p^2=3600 | | -4x=5.6 | | (2x-7)-(4x+8)=4(x+6) | | -1(3+2n)=2(-4n-3) | | 6=6-2n-3n | | -10+4x=50 | | Y+3/8=2y+5/8 |

Equations solver categories