4x^2+49=48x

Simple and best practice solution for 4x^2+49=48x 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 4x^2+49=48x equation:


Simplifying
4x2 + 49 = 48x

Reorder the terms:
49 + 4x2 = 48x

Solving
49 + 4x2 = 48x

Solving for variable 'x'.

Reorder the terms:
49 + -48x + 4x2 = 48x + -48x

Combine like terms: 48x + -48x = 0
49 + -48x + 4x2 = 0

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

Divide each side by '4'.
12.25 + -12x + x2 = 0

Move the constant term to the right:

Add '-12.25' to each side of the equation.
12.25 + -12x + -12.25 + x2 = 0 + -12.25

Reorder the terms:
12.25 + -12.25 + -12x + x2 = 0 + -12.25

Combine like terms: 12.25 + -12.25 = 0.00
0.00 + -12x + x2 = 0 + -12.25
-12x + x2 = 0 + -12.25

Combine like terms: 0 + -12.25 = -12.25
-12x + x2 = -12.25

The x term is -12x.  Take half its coefficient (-6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
-12x + 36 + x2 = -12.25 + 36

Reorder the terms:
36 + -12x + x2 = -12.25 + 36

Combine like terms: -12.25 + 36 = 23.75
36 + -12x + x2 = 23.75

Factor a perfect square on the left side:
(x + -6)(x + -6) = 23.75

Calculate the square root of the right side: 4.873397172

Break this problem into two subproblems by setting 
(x + -6) equal to 4.873397172 and -4.873397172.

Subproblem 1

x + -6 = 4.873397172 Simplifying x + -6 = 4.873397172 Reorder the terms: -6 + x = 4.873397172 Solving -6 + x = 4.873397172 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 4.873397172 + 6 Combine like terms: -6 + 6 = 0 0 + x = 4.873397172 + 6 x = 4.873397172 + 6 Combine like terms: 4.873397172 + 6 = 10.873397172 x = 10.873397172 Simplifying x = 10.873397172

Subproblem 2

x + -6 = -4.873397172 Simplifying x + -6 = -4.873397172 Reorder the terms: -6 + x = -4.873397172 Solving -6 + x = -4.873397172 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = -4.873397172 + 6 Combine like terms: -6 + 6 = 0 0 + x = -4.873397172 + 6 x = -4.873397172 + 6 Combine like terms: -4.873397172 + 6 = 1.126602828 x = 1.126602828 Simplifying x = 1.126602828

Solution

The solution to the problem is based on the solutions from the subproblems. x = {10.873397172, 1.126602828}

See similar equations:

| (X^4-81)=0 | | (5xy^2+2x^3y)-(2xy^2-x^3y)= | | 7(x+6)=9x+5-2x+37 | | (7m^3+4m^2-4)+(5m^3-4m+8)= | | 6(3x-8)-5=6(x-4)+43 | | 7x+4=6x-9 | | 2x+3+2x+3=11 | | 9g^2-49=0 | | 9b+9= | | -16t^2+105t-34= | | 7x^3+4x^2-1+2x^3+4x+8= | | -16t^2+105-34= | | p=9p+100 | | 34=105t-16t^2 | | (x-20)=0.24 | | 17xy+16xy= | | g=2gt+2z | | (a^2-12a+15)=0 | | (8x)2+82x= | | (3x+1)+(2x+4)=90 | | 2u^2=-7u-6 | | -16t^2+96t=128 | | (3x-10)+(x)=150 | | x=-9y-70 | | 6e^2x=18 | | 2-2x*34=98 | | 2(-9y-70)+4y=36 | | (5x+2)+(2x-9)=98 | | 2(1+4x)=7(x-4) | | 3x^2-72=6x | | x+x+(x+39)=180 | | x+x(x+39)=180 |

Equations solver categories