2x^2+3x-7=x^2+5+39

Simple and best practice solution for 2x^2+3x-7=x^2+5+39 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^2+3x-7=x^2+5+39 equation:


Simplifying
2x2 + 3x + -7 = x2 + 5 + 39

Reorder the terms:
-7 + 3x + 2x2 = x2 + 5 + 39

Reorder the terms:
-7 + 3x + 2x2 = 5 + 39 + x2

Combine like terms: 5 + 39 = 44
-7 + 3x + 2x2 = 44 + x2

Solving
-7 + 3x + 2x2 = 44 + x2

Solving for variable 'x'.

Reorder the terms:
-7 + -44 + 3x + 2x2 + -1x2 = 44 + x2 + -44 + -1x2

Combine like terms: -7 + -44 = -51
-51 + 3x + 2x2 + -1x2 = 44 + x2 + -44 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-51 + 3x + 1x2 = 44 + x2 + -44 + -1x2

Reorder the terms:
-51 + 3x + 1x2 = 44 + -44 + x2 + -1x2

Combine like terms: 44 + -44 = 0
-51 + 3x + 1x2 = 0 + x2 + -1x2
-51 + 3x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-51 + 3x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '51' to each side of the equation.
-51 + 3x + 51 + x2 = 0 + 51

Reorder the terms:
-51 + 51 + 3x + x2 = 0 + 51

Combine like terms: -51 + 51 = 0
0 + 3x + x2 = 0 + 51
3x + x2 = 0 + 51

Combine like terms: 0 + 51 = 51
3x + x2 = 51

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = 51 + 2.25

Reorder the terms:
2.25 + 3x + x2 = 51 + 2.25

Combine like terms: 51 + 2.25 = 53.25
2.25 + 3x + x2 = 53.25

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = 53.25

Calculate the square root of the right side: 7.29725976

Break this problem into two subproblems by setting 
(x + 1.5) equal to 7.29725976 and -7.29725976.

Subproblem 1

x + 1.5 = 7.29725976 Simplifying x + 1.5 = 7.29725976 Reorder the terms: 1.5 + x = 7.29725976 Solving 1.5 + x = 7.29725976 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = 7.29725976 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 7.29725976 + -1.5 x = 7.29725976 + -1.5 Combine like terms: 7.29725976 + -1.5 = 5.79725976 x = 5.79725976 Simplifying x = 5.79725976

Subproblem 2

x + 1.5 = -7.29725976 Simplifying x + 1.5 = -7.29725976 Reorder the terms: 1.5 + x = -7.29725976 Solving 1.5 + x = -7.29725976 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = -7.29725976 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = -7.29725976 + -1.5 x = -7.29725976 + -1.5 Combine like terms: -7.29725976 + -1.5 = -8.79725976 x = -8.79725976 Simplifying x = -8.79725976

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.79725976, -8.79725976}

See similar equations:

| (10a+24)= | | -45-(-30)=x/7 | | 2/2x=1/x | | 16t^2+72t+2=0 | | X+3x+x+5=180 | | 3y=21x+15 | | (6x^6-12x^3)/3x^3 | | 690=40W | | x+2y+5=4+5y-x | | -4x-6y=26 | | (x+1)(x+2)=(x+3)(x+4) | | x^2+5u-112=0 | | 5/7-2/x | | 0=3x^2+11x+2 | | 4m^2+12m+2=0 | | (180-x)*1.5=x | | 3(5x-1)-(3x-1)=6x | | 12xsquared-41x+24=0 | | Y=.30(3)+25.75 | | (24/3)^3 | | Log(x+7)14=1 | | 7x-6(x+5)=2(x-15) | | 2x^2+42x+363=0 | | (3/8)a=24 | | -3/4×=-9/10 | | 3x-2x+2x=1-16 | | 7-h=29 | | 5/7*w=30 | | 2u/5=14 | | Y=.30(1)+25.75 | | 3ab*2ab*2ab*3= | | y=.30x+25.75 |

Equations solver categories