23=x^1*(15)+x^2*(20)

Simple and best practice solution for 23=x^1*(15)+x^2*(20) 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 23=x^1*(15)+x^2*(20) equation:


Simplifying
23 = x(15) + x2(20)

Reorder the terms for easier multiplication:
23 = 15x + x2(20)

Reorder the terms for easier multiplication:
23 = 15x + 20x2

Solving
23 = 15x + 20x2

Solving for variable 'x'.

Reorder the terms:
23 + -15x + -20x2 = 15x + -15x + 20x2 + -20x2

Combine like terms: 15x + -15x = 0
23 + -15x + -20x2 = 0 + 20x2 + -20x2
23 + -15x + -20x2 = 20x2 + -20x2

Combine like terms: 20x2 + -20x2 = 0
23 + -15x + -20x2 = 0

Begin completing the square.  Divide all terms by
-20 the coefficient of the squared term: 

Divide each side by '-20'.
-1.15 + 0.75x + x2 = 0

Move the constant term to the right:

Add '1.15' to each side of the equation.
-1.15 + 0.75x + 1.15 + x2 = 0 + 1.15

Reorder the terms:
-1.15 + 1.15 + 0.75x + x2 = 0 + 1.15

Combine like terms: -1.15 + 1.15 = 0.00
0.00 + 0.75x + x2 = 0 + 1.15
0.75x + x2 = 0 + 1.15

Combine like terms: 0 + 1.15 = 1.15
0.75x + x2 = 1.15

The x term is 0.75x.  Take half its coefficient (0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
0.75x + 0.140625 + x2 = 1.15 + 0.140625

Reorder the terms:
0.140625 + 0.75x + x2 = 1.15 + 0.140625

Combine like terms: 1.15 + 0.140625 = 1.290625
0.140625 + 0.75x + x2 = 1.290625

Factor a perfect square on the left side:
(x + 0.375)(x + 0.375) = 1.290625

Calculate the square root of the right side: 1.136056777

Break this problem into two subproblems by setting 
(x + 0.375) equal to 1.136056777 and -1.136056777.

Subproblem 1

x + 0.375 = 1.136056777 Simplifying x + 0.375 = 1.136056777 Reorder the terms: 0.375 + x = 1.136056777 Solving 0.375 + x = 1.136056777 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.375' to each side of the equation. 0.375 + -0.375 + x = 1.136056777 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + x = 1.136056777 + -0.375 x = 1.136056777 + -0.375 Combine like terms: 1.136056777 + -0.375 = 0.761056777 x = 0.761056777 Simplifying x = 0.761056777

Subproblem 2

x + 0.375 = -1.136056777 Simplifying x + 0.375 = -1.136056777 Reorder the terms: 0.375 + x = -1.136056777 Solving 0.375 + x = -1.136056777 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.375' to each side of the equation. 0.375 + -0.375 + x = -1.136056777 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + x = -1.136056777 + -0.375 x = -1.136056777 + -0.375 Combine like terms: -1.136056777 + -0.375 = -1.511056777 x = -1.511056777 Simplifying x = -1.511056777

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.761056777, -1.511056777}

See similar equations:

| 5x-12=3x-6 | | 63x^2+10x-168=0 | | 8x=(56)(7) | | -2x=-1x | | -14x^2+47x+7=0 | | 0.21(10,000)-0.04y=0.06(y+10,000) | | 4x-7+x=-24 | | -206=-7(1+4a)-3 | | 6a^2-11a+4=0 | | 7(v+1)-3v=2(2v+4)-14 | | X^3-3x^2-2x=0 | | 7v+7-3v=4v+8-14 | | 22+4y-8=14y-10-2y | | 7-4v=4v-6 | | x^2+(2x+4)=2x+6 | | 0.36(18)+0.06x=0.18(18+x) | | -x^2+6x-2=0 | | X^7-125x^4=0 | | X^5-625x=0 | | -6-(-5)= | | 89y=22(4y+15) | | 90-(6x-5)=0 | | 4+6x=-8 | | h=-16t^2+78t+4 | | 3x^2=-2x+2 | | X^7=8x^4 | | 3x^2=-4x-5 | | 8x-10y=80 | | -6+5x=24 | | 2q^2-3q-9= | | r+2.3=-3.5 | | x+6/10=9/5+x-4/8 |

Equations solver categories