(x)(x+4.2)=24.5

Simple and best practice solution for (x)(x+4.2)=24.5 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 (x)(x+4.2)=24.5 equation: 


Simplifying
(x)(x + 4.2) = 24.5

Reorder the terms:
x(4.2 + x) = 24.5
(4.2 * x + x * x) = 24.5
(4.2x + x2) = 24.5

Solving
4.2x + x2 = 24.5

Solving for variable 'x'.

Reorder the terms:
-24.5 + 4.2x + x2 = 24.5 + -24.5

Combine like terms: 24.5 + -24.5 = 0.0
-24.5 + 4.2x + x2 = 0.0

Begin completing the square.

Move the constant term to the right:

Add '24.5' to each side of the equation.
-24.5 + 4.2x + 24.5 + x2 = 0.0 + 24.5

Reorder the terms:
-24.5 + 24.5 + 4.2x + x2 = 0.0 + 24.5

Combine like terms: -24.5 + 24.5 = 0.0
0.0 + 4.2x + x2 = 0.0 + 24.5
4.2x + x2 = 0.0 + 24.5

Combine like terms: 0.0 + 24.5 = 24.5
4.2x + x2 = 24.5

The x term is 4.2x.  Take half its coefficient (2.1).
Square it (4.41) and add it to both sides.

Add '4.41' to each side of the equation.
4.2x + 4.41 + x2 = 24.5 + 4.41

Reorder the terms:
4.41 + 4.2x + x2 = 24.5 + 4.41

Combine like terms: 24.5 + 4.41 = 28.91
4.41 + 4.2x + x2 = 28.91

Factor a perfect square on the left side:
(x + 2.1)(x + 2.1) = 28.91

Calculate the square root of the right side: 5.376802024

Break this problem into two subproblems by setting 
(x + 2.1) equal to 5.376802024 and -5.376802024.


Subproblem 1
x + 2.1 = 5.376802024

Simplifying
x + 2.1 = 5.376802024

Reorder the terms:
2.1 + x = 5.376802024

Solving
2.1 + x = 5.376802024

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2.1' to each side of the equation.
2.1 + -2.1 + x = 5.376802024 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + x = 5.376802024 + -2.1
x = 5.376802024 + -2.1

Combine like terms: 5.376802024 + -2.1 = 3.276802024
x = 3.276802024

Simplifying
x = 3.276802024


Subproblem 2
x + 2.1 = -5.376802024

Simplifying
x + 2.1 = -5.376802024

Reorder the terms:
2.1 + x = -5.376802024

Solving
2.1 + x = -5.376802024

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2.1' to each side of the equation.
2.1 + -2.1 + x = -5.376802024 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + x = -5.376802024 + -2.1
x = -5.376802024 + -2.1

Combine like terms: -5.376802024 + -2.1 = -7.476802024
x = -7.476802024

Simplifying
x = -7.476802024


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.276802024, -7.476802024}

See similar equations:

| 6m-15=36 | | 7+3q=13 | | 2m=m+8 | | 2x^3-1=54 | | 8+5(2x+4)=4x+8 | | .5k=k-6 | | (x)(4.2x)=24.5 | | 4(x-3)=-2x+42 | | -.5k=k-6 | | -2q-4=-3q | | 3(5x+3)=-6 | | x^3-1=7 | | x^2+4x^2=7x^2 | | -31+3a=2(8a-7) | | 6s-41=61 | | -7t+9=-6t | | 15(x+12)=110 | | 8-10z=-9z | | 3+7v=8+4v-2V | | 8.00=-logx | | 14x-8x=90 | | -8k+5+3k=30 | | 4[x+(-7)]=2(x-8) | | -2n-9=-3n | | 5X-X=18 | | X+0.2=100 | | 4x+(4x-1)=2 | | B^4-13b^2+36=0 | | 8x^2-0.5-9.2=0 | | 54=6(x-1) | | Radius=12yrd | | 5j=-9+4j |

Equations solver categories