2x^2+8x-4.5=

Simple and best practice solution for 2x^2+8x-4.5= 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 2x^2+8x-4.5= equation: 


Simplifying
2x2 + 8x + -4.5 = 0

Reorder the terms:
-4.5 + 8x + 2x2 = 0

Solving
-4.5 + 8x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
-2.25 + 4x + x2 = 0

Move the constant term to the right:

Add '2.25' to each side of the equation.
-2.25 + 4x + 2.25 + x2 = 0 + 2.25

Reorder the terms:
-2.25 + 2.25 + 4x + x2 = 0 + 2.25

Combine like terms: -2.25 + 2.25 = 0.00
0.00 + 4x + x2 = 0 + 2.25
4x + x2 = 0 + 2.25

Combine like terms: 0 + 2.25 = 2.25
4x + x2 = 2.25

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 2.25 + 4

Reorder the terms:
4 + 4x + x2 = 2.25 + 4

Combine like terms: 2.25 + 4 = 6.25
4 + 4x + x2 = 6.25

Factor a perfect square on the left side:
(x + 2)(x + 2) = 6.25

Calculate the square root of the right side: 2.5

Break this problem into two subproblems by setting 
(x + 2) equal to 2.5 and -2.5.


Subproblem 1
x + 2 = 2.5

Simplifying
x + 2 = 2.5

Reorder the terms:
2 + x = 2.5

Solving
2 + x = 2.5

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = 2.5 + -2

Combine like terms: 2 + -2 = 0
0 + x = 2.5 + -2
x = 2.5 + -2

Combine like terms: 2.5 + -2 = 0.5
x = 0.5

Simplifying
x = 0.5


Subproblem 2
x + 2 = -2.5

Simplifying
x + 2 = -2.5

Reorder the terms:
2 + x = -2.5

Solving
2 + x = -2.5

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = -2.5 + -2

Combine like terms: 2 + -2 = 0
0 + x = -2.5 + -2
x = -2.5 + -2

Combine like terms: -2.5 + -2 = -4.5
x = -4.5

Simplifying
x = -4.5


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.5, -4.5}

See similar equations:

| 2(3x+4)+4(2x-1)=32 | | 2(g+4)-5=9 | | X^2-9x+k=0 | | 5+3(7+9f)= | | 1-2p=15-3p | | 9x+1=5z | | -4(2h-6)= | | 7b+6.5=3.2b+17.9 | | 115=-6(4b-8)-5 | | -8(-5g-9)-4= | | -23=1-3n+6n | | 70x+95y=90 | | f(x)=(8-3x)(x^2-2x-15) | | -3(7-4d)= | | 6-8x-4x+3= | | 4(h+3)=3h(h-4) | | 6w+9(3w-7)= | | -70x=-60 | | -8k+4-5=23 | | x+2(2x-6)=-2 | | 4(-3+3b)=-108 | | 9(4s-5)+6s= | | 3x+12=10x | | 4a^2-24a=0 | | 198-x=64 | | 3x+z=2 | | 2m+3s=24 | | 6x^2-2x-2=0 | | -8(6s-7)= | | 12x-24=6(2x+4) | | A(4)=5+(4-1)(-3) | | 4(-3-5q)= |

Equations solver categories