4.9x^2+7.35x-31=0

Simple and best practice solution for 4.9x^2+7.35x-31=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+7.35x-31=0 equation: 


Simplifying
4.9x2 + 7.35x + -31 = 0

Reorder the terms:
-31 + 7.35x + 4.9x2 = 0

Solving
-31 + 7.35x + 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'.
-6.326530612 + 1.5x + x2 = 0

Move the constant term to the right:

Add '6.326530612' to each side of the equation.
-6.326530612 + 1.5x + 6.326530612 + x2 = 0 + 6.326530612

Reorder the terms:
-6.326530612 + 6.326530612 + 1.5x + x2 = 0 + 6.326530612

Combine like terms: -6.326530612 + 6.326530612 = 0.000000000
0.000000000 + 1.5x + x2 = 0 + 6.326530612
1.5x + x2 = 0 + 6.326530612

Combine like terms: 0 + 6.326530612 = 6.326530612
1.5x + x2 = 6.326530612

The x term is 1.5x.  Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
1.5x + 0.5625 + x2 = 6.326530612 + 0.5625

Reorder the terms:
0.5625 + 1.5x + x2 = 6.326530612 + 0.5625

Combine like terms: 6.326530612 + 0.5625 = 6.889030612
0.5625 + 1.5x + x2 = 6.889030612

Factor a perfect square on the left side:
(x + 0.75)(x + 0.75) = 6.889030612

Calculate the square root of the right side: 2.624696289

Break this problem into two subproblems by setting 
(x + 0.75) equal to 2.624696289 and -2.624696289.


Subproblem 1
x + 0.75 = 2.624696289

Simplifying
x + 0.75 = 2.624696289

Reorder the terms:
0.75 + x = 2.624696289

Solving
0.75 + x = 2.624696289

Solving for variable 'x'.

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

Add '-0.75' to each side of the equation.
0.75 + -0.75 + x = 2.624696289 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + x = 2.624696289 + -0.75
x = 2.624696289 + -0.75

Combine like terms: 2.624696289 + -0.75 = 1.874696289
x = 1.874696289

Simplifying
x = 1.874696289


Subproblem 2
x + 0.75 = -2.624696289

Simplifying
x + 0.75 = -2.624696289

Reorder the terms:
0.75 + x = -2.624696289

Solving
0.75 + x = -2.624696289

Solving for variable 'x'.

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

Add '-0.75' to each side of the equation.
0.75 + -0.75 + x = -2.624696289 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + x = -2.624696289 + -0.75
x = -2.624696289 + -0.75

Combine like terms: -2.624696289 + -0.75 = -3.374696289
x = -3.374696289

Simplifying
x = -3.374696289


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.874696289, -3.374696289}

See similar equations:

| 9x^2+7x-8=0 | | 2z+2=2-6z | | 30.5+x+24.7=199.7 | | -7-3n=-4n | | -7-3n=-4n | | -7-3n=-4n | | 3y+5-9=-33 | | 5(2i+3j)+4(3i-3j)= | | n+-12=5 | | x/4-2x/3=10 | | 31=8r+5r | | 3x+24+5x=24+8x | | 6c-7+3c=-27 | | 0=x^2+34x-165 | | -60-5x=5-8x | | 8/4-2/3=-10 | | (9/7x+14)=(3/x+2)-(2/7) | | 90x=60x-120 | | 1/2(x+6)=2/9(x+8) | | 4=80-5x | | 6x-5=4x-3 | | 4(3x-5)+6= | | 1/7(6x-4) | | 2+y=15 | | -(2x-5)=11 | | 3/2=a+6/5 | | 2x+5=x+5+x | | 2(3u-2v)-8u= | | 2x^2-x^2-2x+1=0 | | .3(w+10)=1.8 | | -2(9-p)=12 | | 40=8+2x-2 |

Equations solver categories