0.4x^2+5.4x+14.8=0

Simple and best practice solution for 0.4x^2+5.4x+14.8=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 0.4x^2+5.4x+14.8=0 equation: 


Simplifying
0.4x2 + 5.4x + 14.8 = 0

Reorder the terms:
14.8 + 5.4x + 0.4x2 = 0

Solving
14.8 + 5.4x + 0.4x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.4'.
37 + 13.5x + x2 = 0

Move the constant term to the right:

Add '-37' to each side of the equation.
37 + 13.5x + -37 + x2 = 0 + -37

Reorder the terms:
37 + -37 + 13.5x + x2 = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 13.5x + x2 = 0 + -37
13.5x + x2 = 0 + -37

Combine like terms: 0 + -37 = -37
13.5x + x2 = -37

The x term is 13.5x.  Take half its coefficient (6.75).
Square it (45.5625) and add it to both sides.

Add '45.5625' to each side of the equation.
13.5x + 45.5625 + x2 = -37 + 45.5625

Reorder the terms:
45.5625 + 13.5x + x2 = -37 + 45.5625

Combine like terms: -37 + 45.5625 = 8.5625
45.5625 + 13.5x + x2 = 8.5625

Factor a perfect square on the left side:
(x + 6.75)(x + 6.75) = 8.5625

Calculate the square root of the right side: 2.926174978

Break this problem into two subproblems by setting 
(x + 6.75) equal to 2.926174978 and -2.926174978.


Subproblem 1
x + 6.75 = 2.926174978

Simplifying
x + 6.75 = 2.926174978

Reorder the terms:
6.75 + x = 2.926174978

Solving
6.75 + x = 2.926174978

Solving for variable 'x'.

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

Add '-6.75' to each side of the equation.
6.75 + -6.75 + x = 2.926174978 + -6.75

Combine like terms: 6.75 + -6.75 = 0.00
0.00 + x = 2.926174978 + -6.75
x = 2.926174978 + -6.75

Combine like terms: 2.926174978 + -6.75 = -3.823825022
x = -3.823825022

Simplifying
x = -3.823825022


Subproblem 2
x + 6.75 = -2.926174978

Simplifying
x + 6.75 = -2.926174978

Reorder the terms:
6.75 + x = -2.926174978

Solving
6.75 + x = -2.926174978

Solving for variable 'x'.

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

Add '-6.75' to each side of the equation.
6.75 + -6.75 + x = -2.926174978 + -6.75

Combine like terms: 6.75 + -6.75 = 0.00
0.00 + x = -2.926174978 + -6.75
x = -2.926174978 + -6.75

Combine like terms: -2.926174978 + -6.75 = -9.676174978
x = -9.676174978

Simplifying
x = -9.676174978


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-3.823825022, -9.676174978}

See similar equations:

| (2r+6)(2r-6)= | | (2r+6)(2r-6)= | | (2r+6)(2r-6)= | | -9=3(4b+8)-b | | 5=49-(-x) | | 25-8s=5-3s | | .5x-7=11 | | 7g-12=3+2.33g | | (4v-4)(5v-6)= | | 35=-.875x | | 3x^2-60x+108=0 | | .75x=.6 | | 7n^2=27n+4 | | 5n+3+4n= | | 5x-6=6x-1 | | 3x+-7=8x+23 | | 4x=16x+1 | | 4(x+3)=(4x+12) | | 2+11z+12=10z+12 | | y=-4(2)+2 | | 46=7-3x | | 5(90-7x)x=-126 | | y=-4(1)+2 | | y=-4(0)+2 | | 45r-22x=182 | | y=-4(-1)+2 | | y=-4(-2)+2 | | -3+10y=-13 | | 4(p+4Q-10)= | | 8x^2=3-10x | | 2n-15=18 | | -2(3y+8)= |

Equations solver categories