5.3x^2-18.9x+12.6=0

Simple and best practice solution for 5.3x^2-18.9x+12.6=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 5.3x^2-18.9x+12.6=0 equation: 


Simplifying
5.3x2 + -18.9x + 12.6 = 0

Reorder the terms:
12.6 + -18.9x + 5.3x2 = 0

Solving
12.6 + -18.9x + 5.3x2 = 0

Solving for variable 'x'.

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

Divide each side by '5.3'.
2.377358491 + -3.566037736x + x2 = 0

Move the constant term to the right:

Add '-2.377358491' to each side of the equation.
2.377358491 + -3.566037736x + -2.377358491 + x2 = 0 + -2.377358491

Reorder the terms:
2.377358491 + -2.377358491 + -3.566037736x + x2 = 0 + -2.377358491

Combine like terms: 2.377358491 + -2.377358491 = 0.000000000
0.000000000 + -3.566037736x + x2 = 0 + -2.377358491
-3.566037736x + x2 = 0 + -2.377358491

Combine like terms: 0 + -2.377358491 = -2.377358491
-3.566037736x + x2 = -2.377358491

The x term is -3.566037736x.  Take half its coefficient (-1.783018868).
Square it (3.179156284) and add it to both sides.

Add '3.179156284' to each side of the equation.
-3.566037736x + 3.179156284 + x2 = -2.377358491 + 3.179156284

Reorder the terms:
3.179156284 + -3.566037736x + x2 = -2.377358491 + 3.179156284

Combine like terms: -2.377358491 + 3.179156284 = 0.801797793
3.179156284 + -3.566037736x + x2 = 0.801797793

Factor a perfect square on the left side:
(x + -1.783018868)(x + -1.783018868) = 0.801797793

Calculate the square root of the right side: 0.895431624

Break this problem into two subproblems by setting 
(x + -1.783018868) equal to 0.895431624 and -0.895431624.


Subproblem 1
x + -1.783018868 = 0.895431624

Simplifying
x + -1.783018868 = 0.895431624

Reorder the terms:
-1.783018868 + x = 0.895431624

Solving
-1.783018868 + x = 0.895431624

Solving for variable 'x'.

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

Add '1.783018868' to each side of the equation.
-1.783018868 + 1.783018868 + x = 0.895431624 + 1.783018868

Combine like terms: -1.783018868 + 1.783018868 = 0.000000000
0.000000000 + x = 0.895431624 + 1.783018868
x = 0.895431624 + 1.783018868

Combine like terms: 0.895431624 + 1.783018868 = 2.678450492
x = 2.678450492

Simplifying
x = 2.678450492


Subproblem 2
x + -1.783018868 = -0.895431624

Simplifying
x + -1.783018868 = -0.895431624

Reorder the terms:
-1.783018868 + x = -0.895431624

Solving
-1.783018868 + x = -0.895431624

Solving for variable 'x'.

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

Add '1.783018868' to each side of the equation.
-1.783018868 + 1.783018868 + x = -0.895431624 + 1.783018868

Combine like terms: -1.783018868 + 1.783018868 = 0.000000000
0.000000000 + x = -0.895431624 + 1.783018868
x = -0.895431624 + 1.783018868

Combine like terms: -0.895431624 + 1.783018868 = 0.887587244
x = 0.887587244

Simplifying
x = 0.887587244


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.678450492, 0.887587244}

See similar equations:

| 25x^2-70+49=0 | | 5p=40 | | x^3-2x^2-120x=4800 | | 3(2G-5)=5-4G | | -4.2+2= | | 2n-22=13-5n | | -4.4s+6.6s= | | 6(3v-4)=-31-9v | | 8+3(x)+32=x | | .25x=3.0 | | x^2/(x^2-3x+2)=6.3 | | 5t-15t=80 | | 2.8=6.1+y | | 22-8=(-2)+v+(-7) | | 2x+7y=-15 | | 2.9x=20.3 | | 2/7k-1/14k=-7 | | -3(4)-2=y | | -3/5(-8)-6 | | 1-7=20+j+(-11) | | -3(4)-(-2)=y | | 18-2(n)=42 | | 7X=2X-36 | | y+8=2y-5 | | (7x-3)(x+7)=0 | | 3n-15/12 | | 5/6c+1/3c=4/5 | | 5-4(1+8d)=-24 | | -1/3-3=n | | 5/6c+1/3c=1/5 | | -9p+18=-45 | | y+8*2y-5=1 |

Equations solver categories