x^2+3x-4.75=0

Simple and best practice solution for x^2+3x-4.75=0 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^2+3x-4.75=0 equation: 


Simplifying
x2 + 3x + -4.75 = 0

Reorder the terms:
-4.75 + 3x + x2 = 0

Solving
-4.75 + 3x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '4.75' to each side of the equation.
-4.75 + 3x + 4.75 + x2 = 0 + 4.75

Reorder the terms:
-4.75 + 4.75 + 3x + x2 = 0 + 4.75

Combine like terms: -4.75 + 4.75 = 0.00
0.00 + 3x + x2 = 0 + 4.75
3x + x2 = 0 + 4.75

Combine like terms: 0 + 4.75 = 4.75
3x + x2 = 4.75

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 = 4.75 + 2.25

Reorder the terms:
2.25 + 3x + x2 = 4.75 + 2.25

Combine like terms: 4.75 + 2.25 = 7
2.25 + 3x + x2 = 7

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = 7

Calculate the square root of the right side: 2.645751311

Break this problem into two subproblems by setting 
(x + 1.5) equal to 2.645751311 and -2.645751311.


Subproblem 1
x + 1.5 = 2.645751311

Simplifying
x + 1.5 = 2.645751311

Reorder the terms:
1.5 + x = 2.645751311

Solving
1.5 + x = 2.645751311

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 = 2.645751311 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = 2.645751311 + -1.5
x = 2.645751311 + -1.5

Combine like terms: 2.645751311 + -1.5 = 1.145751311
x = 1.145751311

Simplifying
x = 1.145751311


Subproblem 2
x + 1.5 = -2.645751311

Simplifying
x + 1.5 = -2.645751311

Reorder the terms:
1.5 + x = -2.645751311

Solving
1.5 + x = -2.645751311

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 = -2.645751311 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = -2.645751311 + -1.5
x = -2.645751311 + -1.5

Combine like terms: -2.645751311 + -1.5 = -4.145751311
x = -4.145751311

Simplifying
x = -4.145751311


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.145751311, -4.145751311}

See similar equations:

| -5h=5u-q | | 4t-3=2t | | -2x+7=5y-1 | | 1-y=6-6y | | x+x+2+x+4=2(x+4) | | (2x-8)(6x+12)=0 | | 10x-6x+174=10x+102 | | x+(x+2)=2(x+4) | | 3x-13+2x+4+116=180 | | t=-5t^3+10t+3 | | 9-2y=2y+1 | | solvex^2=144 | | h(t)=-5t^3+10t+3 | | 4x-7x=-7-2x | | 2cos^2x+sinx=2 | | 2x-7x*4-9x= | | 10-45n-45= | | 5x+8x-72=36-5x | | x^2+5x+48=0 | | -3(x+2)+4=13 | | 26x+7=19x+42 | | 9x+x=9x+1 | | (4x-7)+(5x)=180 | | 200m-125m+53350=55000-200m | | (7y+5)-(2+6y)=8 | | -8b+8+6b=3b+13 | | 5p=-5 | | 2cos^2x+7cosx=4 | | 5.4x-3.5-5.7x=-1.3x-5.3 | | -6.5x+0.54=-2.06 | | 0.428571429x+0.571428571=-0.714285714 | | 3x(x+26)=(3x+4)(x+2) |

Equations solver categories