4.9x^2+4x-2.25=0

Simple and best practice solution for 4.9x^2+4x-2.25=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 4.9x^2+4x-2.25=0 equation: 


Simplifying
4.9x2 + 4x + -2.25 = 0

Reorder the terms:
-2.25 + 4x + 4.9x2 = 0

Solving
-2.25 + 4x + 4.9x2 = 0

Solving for variable 'x'.

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

Divide each side by '4.9'.
-0.4591836735 + 0.8163265306x + x2 = 0

Move the constant term to the right:

Add '0.4591836735' to each side of the equation.
-0.4591836735 + 0.8163265306x + 0.4591836735 + x2 = 0 + 0.4591836735

Reorder the terms:
-0.4591836735 + 0.4591836735 + 0.8163265306x + x2 = 0 + 0.4591836735

Combine like terms: -0.4591836735 + 0.4591836735 = 0.0000000000
0.0000000000 + 0.8163265306x + x2 = 0 + 0.4591836735
0.8163265306x + x2 = 0 + 0.4591836735

Combine like terms: 0 + 0.4591836735 = 0.4591836735
0.8163265306x + x2 = 0.4591836735

The x term is 0.8163265306x.  Take half its coefficient (0.4081632653).
Square it (0.1665972511) and add it to both sides.

Add '0.1665972511' to each side of the equation.
0.8163265306x + 0.1665972511 + x2 = 0.4591836735 + 0.1665972511

Reorder the terms:
0.1665972511 + 0.8163265306x + x2 = 0.4591836735 + 0.1665972511

Combine like terms: 0.4591836735 + 0.1665972511 = 0.6257809246
0.1665972511 + 0.8163265306x + x2 = 0.6257809246

Factor a perfect square on the left side:
(x + 0.4081632653)(x + 0.4081632653) = 0.6257809246

Calculate the square root of the right side: 0.791063161

Break this problem into two subproblems by setting 
(x + 0.4081632653) equal to 0.791063161 and -0.791063161.


Subproblem 1
x + 0.4081632653 = 0.791063161

Simplifying
x + 0.4081632653 = 0.791063161

Reorder the terms:
0.4081632653 + x = 0.791063161

Solving
0.4081632653 + x = 0.791063161

Solving for variable 'x'.

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

Add '-0.4081632653' to each side of the equation.
0.4081632653 + -0.4081632653 + x = 0.791063161 + -0.4081632653

Combine like terms: 0.4081632653 + -0.4081632653 = 0.0000000000
0.0000000000 + x = 0.791063161 + -0.4081632653
x = 0.791063161 + -0.4081632653

Combine like terms: 0.791063161 + -0.4081632653 = 0.3828998957
x = 0.3828998957

Simplifying
x = 0.3828998957


Subproblem 2
x + 0.4081632653 = -0.791063161

Simplifying
x + 0.4081632653 = -0.791063161

Reorder the terms:
0.4081632653 + x = -0.791063161

Solving
0.4081632653 + x = -0.791063161

Solving for variable 'x'.

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

Add '-0.4081632653' to each side of the equation.
0.4081632653 + -0.4081632653 + x = -0.791063161 + -0.4081632653

Combine like terms: 0.4081632653 + -0.4081632653 = 0.0000000000
0.0000000000 + x = -0.791063161 + -0.4081632653
x = -0.791063161 + -0.4081632653

Combine like terms: -0.791063161 + -0.4081632653 = -1.1992264263
x = -1.1992264263

Simplifying
x = -1.1992264263


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.3828998957, -1.1992264263}

See similar equations:

| 2x+18=16-4(x-7) | | -9v=7-10v | | 27-11=2(x-1) | | -9(-14f+-13)= | | 4x^2-11x-3= | | -2(5+6x)+14=-20 | | (x+18)(x-20)=0 | | 7(6+3x)=84 | | 2(-11-18q)= | | 6(5-8v)+12=-15 | | (2w-3)+w=78 | | 4(7v-4)-8=144 | | -2=5+3x | | y+2y+3y=150+(-12) | | y-9x=10 | | 4x+2x+x=42 | | 7-7n-2n=-8n+2 | | 7y*y= | | 2(5s+6)-4s=3(2s+3)-10 | | (a-b)(2a+ab)= | | 10(4h-16)= | | 8x+y=2x | | 6x^2-24x^2=0 | | 8t+2=t+5+t-3 | | 4n-2.8=8.8 | | 72=.75m | | 24/6*4= | | 11x-3=4x-52 | | 0.13y+0.08(y+5000)=2080 | | x^2-3ix-2=2 | | x^2-300x+3500=0 | | 5x+5+7x+19=36 |

Equations solver categories