4.9x^2-7.7x-1.8=0

Simple and best practice solution for 4.9x^2-7.7x-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^2-7.7x-1.8=0 equation:


Simplifying
4.9x2 + -7.7x + -1.8 = 0

Reorder the terms:
-1.8 + -7.7x + 4.9x2 = 0

Solving
-1.8 + -7.7x + 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 + -1.571428571x + x2 = 0

Move the constant term to the right:

Add '0.3673469388' to each side of the equation.
-0.3673469388 + -1.571428571x + 0.3673469388 + x2 = 0 + 0.3673469388

Reorder the terms:
-0.3673469388 + 0.3673469388 + -1.571428571x + x2 = 0 + 0.3673469388

Combine like terms: -0.3673469388 + 0.3673469388 = 0.0000000000
0.0000000000 + -1.571428571x + x2 = 0 + 0.3673469388
-1.571428571x + x2 = 0 + 0.3673469388

Combine like terms: 0 + 0.3673469388 = 0.3673469388
-1.571428571x + x2 = 0.3673469388

The x term is -1.571428571x.  Take half its coefficient (-0.7857142855).
Square it (0.6173469384) and add it to both sides.

Add '0.6173469384' to each side of the equation.
-1.571428571x + 0.6173469384 + x2 = 0.3673469388 + 0.6173469384

Reorder the terms:
0.6173469384 + -1.571428571x + x2 = 0.3673469388 + 0.6173469384

Combine like terms: 0.3673469388 + 0.6173469384 = 0.9846938772
0.6173469384 + -1.571428571x + x2 = 0.9846938772

Factor a perfect square on the left side:
(x + -0.7857142855)(x + -0.7857142855) = 0.9846938772

Calculate the square root of the right side: 0.992317428

Break this problem into two subproblems by setting 
(x + -0.7857142855) equal to 0.992317428 and -0.992317428.

Subproblem 1

x + -0.7857142855 = 0.992317428 Simplifying x + -0.7857142855 = 0.992317428 Reorder the terms: -0.7857142855 + x = 0.992317428 Solving -0.7857142855 + x = 0.992317428 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7857142855' to each side of the equation. -0.7857142855 + 0.7857142855 + x = 0.992317428 + 0.7857142855 Combine like terms: -0.7857142855 + 0.7857142855 = 0.0000000000 0.0000000000 + x = 0.992317428 + 0.7857142855 x = 0.992317428 + 0.7857142855 Combine like terms: 0.992317428 + 0.7857142855 = 1.7780317135 x = 1.7780317135 Simplifying x = 1.7780317135

Subproblem 2

x + -0.7857142855 = -0.992317428 Simplifying x + -0.7857142855 = -0.992317428 Reorder the terms: -0.7857142855 + x = -0.992317428 Solving -0.7857142855 + x = -0.992317428 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7857142855' to each side of the equation. -0.7857142855 + 0.7857142855 + x = -0.992317428 + 0.7857142855 Combine like terms: -0.7857142855 + 0.7857142855 = 0.0000000000 0.0000000000 + x = -0.992317428 + 0.7857142855 x = -0.992317428 + 0.7857142855 Combine like terms: -0.992317428 + 0.7857142855 = -0.2066031425 x = -0.2066031425 Simplifying x = -0.2066031425

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.7780317135, -0.2066031425}

See similar equations:

| .33x=.4x+.66 | | (7t+4)(3t-8)=0 | | 4x+2=-6+2x+22 | | 2y-15=60x | | -(-3y-3)=3(3y-13) | | -86=6x+2x+2 | | x=150x+2500 | | 3x^2-56=19 | | 4x-1=-4+4x+3 | | 9x-y=64 | | 5(3m+5)=-(m+23) | | 2*25-5(5)-5/2= | | -5x^2=11x+12 | | 2w-9-w=9 | | 127=7x+5x-5 | | 2x+41=8x-3 | | 2*25-5= | | 90-2x=10x | | -2(x+3)+5=3(x+5)+5 | | 23+(5x-1)=47 | | 30=8t-13t | | 55x+9=255 | | -7-12= | | -2y+4x=18 | | y=-2x^2-x-12 | | 1-4x-3x=-76 | | 5(x-5)+5=3(x-4) | | 225x+9=55 | | 56=(4w-2)w | | 1=-5x+2x+7 | | -3x^3+18x^2+48x-288=0 | | (9c+7)(2c-3)=0 |

Equations solver categories