4.9x^2+4x-1.8=0

Simple and best practice solution for 4.9x^2+4x-1.8=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-1.8=0 equation:


Simplifying
4.9x2 + 4x + -1.8 = 0

Reorder the terms:
-1.8 + 4x + 4.9x2 = 0

Solving
-1.8 + 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'.
-0.3673469388 + 0.8163265306x + x2 = 0

Move the constant term to the right:

Add '0.3673469388' to each side of the equation.
-0.3673469388 + 0.8163265306x + 0.3673469388 + x2 = 0 + 0.3673469388

Reorder the terms:
-0.3673469388 + 0.3673469388 + 0.8163265306x + x2 = 0 + 0.3673469388

Combine like terms: -0.3673469388 + 0.3673469388 = 0.0000000000
0.0000000000 + 0.8163265306x + x2 = 0 + 0.3673469388
0.8163265306x + x2 = 0 + 0.3673469388

Combine like terms: 0 + 0.3673469388 = 0.3673469388
0.8163265306x + x2 = 0.3673469388

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 = 0.3673469388 + 0.1665972511

Reorder the terms:
0.1665972511 + 0.8163265306x + x2 = 0.3673469388 + 0.1665972511

Combine like terms: 0.3673469388 + 0.1665972511 = 0.5339441899
0.1665972511 + 0.8163265306x + x2 = 0.5339441899

Factor a perfect square on the left side:
(x + 0.4081632653)(x + 0.4081632653) = 0.5339441899

Calculate the square root of the right side: 0.730714849

Break this problem into two subproblems by setting 
(x + 0.4081632653) equal to 0.730714849 and -0.730714849.

Subproblem 1

x + 0.4081632653 = 0.730714849 Simplifying x + 0.4081632653 = 0.730714849 Reorder the terms: 0.4081632653 + x = 0.730714849 Solving 0.4081632653 + x = 0.730714849 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 = 0.730714849 + -0.4081632653 Combine like terms: 0.4081632653 + -0.4081632653 = 0.0000000000 0.0000000000 + x = 0.730714849 + -0.4081632653 x = 0.730714849 + -0.4081632653 Combine like terms: 0.730714849 + -0.4081632653 = 0.3225515837 x = 0.3225515837 Simplifying x = 0.3225515837

Subproblem 2

x + 0.4081632653 = -0.730714849 Simplifying x + 0.4081632653 = -0.730714849 Reorder the terms: 0.4081632653 + x = -0.730714849 Solving 0.4081632653 + x = -0.730714849 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 = -0.730714849 + -0.4081632653 Combine like terms: 0.4081632653 + -0.4081632653 = 0.0000000000 0.0000000000 + x = -0.730714849 + -0.4081632653 x = -0.730714849 + -0.4081632653 Combine like terms: -0.730714849 + -0.4081632653 = -1.1388781143 x = -1.1388781143 Simplifying x = -1.1388781143

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.3225515837, -1.1388781143}

See similar equations:

| 15x-30=9x+30 | | 6-7x=6x-8x+21 | | 4(2x-3)=x-12+17 | | y-8=-.75(x+1) | | A^2+225=324 | | -23=2a+a | | 3(x+4)+8x=111 | | .3(x-5)+.23x+.4=.2(x+.4)+.5 | | 1.82g-4=0.55 | | -7m-3m+2=-5m-6m | | 5(6+2x)+5x=-9+6(1+8x) | | -4x+9y=18 | | -2(-2+x)=-10(5x-10) | | -7m-3m+2=5m-6m | | 40(x-6)=32(3x-6) | | x+.875=-.25 | | 9x=25+y | | 2(p+8)=10(p-8) | | -9/8+7/4= | | -13+10=-3(X+8) | | 26=x/2+5 | | 6(n+5)+4n=46-(n-17) | | 4x-(-8)=48 | | -7(-12x-5)=12(7x-4) | | -2x+2=3+6x+5 | | 4(5x-4)-2(2x-17)=3(5x+5)-12 | | 2x=x+x+5.5+7.5 | | =340.5712-94.896x+2.59X^2 | | y/7-5=6 | | 92=6x-3+4x | | -7(-12-5)=12(7x-4) | | x-6=6x-4 |

Equations solver categories