x^2-3.0x=6.75

Simple and best practice solution for x^2-3.0x=6.75 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 x^2-3.0x=6.75 equation: 


Simplifying
x2 + -3.0x = 6.75

Reorder the terms:
-3.0x + x2 = 6.75

Solving
-3.0x + x2 = 6.75

Solving for variable 'x'.

Reorder the terms:
-6.75 + -3.0x + x2 = 6.75 + -6.75

Combine like terms: 6.75 + -6.75 = 0.00
-6.75 + -3.0x + x2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '6.75' to each side of the equation.
-6.75 + -3.0x + 6.75 + x2 = 0.00 + 6.75

Reorder the terms:
-6.75 + 6.75 + -3.0x + x2 = 0.00 + 6.75

Combine like terms: -6.75 + 6.75 = 0.00
0.00 + -3.0x + x2 = 0.00 + 6.75
-3.0x + x2 = 0.00 + 6.75

Combine like terms: 0.00 + 6.75 = 6.75
-3.0x + x2 = 6.75

The x term is -3.0x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3.0x + 2.25 + x2 = 6.75 + 2.25

Reorder the terms:
2.25 + -3.0x + x2 = 6.75 + 2.25

Combine like terms: 6.75 + 2.25 = 9
2.25 + -3.0x + x2 = 9

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = 9

Calculate the square root of the right side: 3

Break this problem into two subproblems by setting 
(x + -1.5) equal to 3 and -3.


Subproblem 1
x + -1.5 = 3

Simplifying
x + -1.5 = 3

Reorder the terms:
-1.5 + x = 3

Solving
-1.5 + x = 3

Solving for variable 'x'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + x = 3 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + x = 3 + 1.5
x = 3 + 1.5

Combine like terms: 3 + 1.5 = 4.5
x = 4.5

Simplifying
x = 4.5


Subproblem 2
x + -1.5 = -3

Simplifying
x + -1.5 = -3

Reorder the terms:
-1.5 + x = -3

Solving
-1.5 + x = -3

Solving for variable 'x'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + x = -3 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + x = -3 + 1.5
x = -3 + 1.5

Combine like terms: -3 + 1.5 = -1.5
x = -1.5

Simplifying
x = -1.5


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.5, -1.5}

See similar equations:

| x^2+18x=88 | | (-5x+47)=(9x+23) | | y=4x^2-6x+1 | | 1/3x=5-5/6x | | 4x-9=5x-5 | | 48-27w^2= | | 2x+7y+9z=11 | | F(x)=0.6x-5 | | 3x^(3/5)=66 | | 0.6x-1.5=3.2x+2.8 | | 4x^2+4x+4y^2+4y-3=0 | | 7x-6x+4=1 | | 8b=16b-4 | | 16w^2-4w^4= | | 4(x+5)=2x-3 | | -7(7+9m)-9(1-12m)=9m-6+10m | | 7k-8+2(k+12)=58 | | 2/(4-x^2) | | -5(3m-2)=-65 | | 2x+-6=6x+2 | | 1/9-11/21= | | 2/4-x^2 | | 32x^3-50x= | | 0.85x+0.05(20-x)=0.10(-102) | | 4w^2-100= | | -8(3-3x)=6(x+1)+3x | | 77x^2+25x-72=0 | | 22=15+2x | | 0.9x+0.05(8-x)=0.10(76) | | -6x-12=12 | | 4/xx | | 5(9-d)-57=25d-6(2+5d) |

Equations solver categories