1.2x^2+7.5=6x

Simple and best practice solution for 1.2x^2+7.5=6x 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 1.2x^2+7.5=6x equation:


Simplifying
1.2x2 + 7.5 = 6x

Reorder the terms:
7.5 + 1.2x2 = 6x

Solving
7.5 + 1.2x2 = 6x

Solving for variable 'x'.

Reorder the terms:
7.5 + -6x + 1.2x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
7.5 + -6x + 1.2x2 = 0

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

Divide each side by '1.2'.
6.25 + -5x + x2 = 0

Move the constant term to the right:

Add '-6.25' to each side of the equation.
6.25 + -5x + -6.25 + x2 = 0 + -6.25

Reorder the terms:
6.25 + -6.25 + -5x + x2 = 0 + -6.25

Combine like terms: 6.25 + -6.25 = 0.00
0.00 + -5x + x2 = 0 + -6.25
-5x + x2 = 0 + -6.25

Combine like terms: 0 + -6.25 = -6.25
-5x + x2 = -6.25

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -6.25 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -6.25 + 6.25

Combine like terms: -6.25 + 6.25 = 0.00
6.25 + -5x + x2 = 0.00

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 0.00

Calculate the square root of the right side: 0.00

Break this problem into two subproblems by setting 
(x + -2.5) equal to 0.00 and 0.00.

Subproblem 1

x + -2.5 = 0.00 Simplifying x + -2.5 = 0.00 Reorder the terms: -2.5 + x = 0.00 Solving -2.5 + x = 0.00 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = 0.00 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = 0.00 + 2.5 x = 0.00 + 2.5 Combine like terms: 0.00 + 2.5 = 2.5 x = 2.5 Simplifying x = 2.5

Subproblem 2

x + -2.5 = 0.00 Simplifying x + -2.5 = 0.00 Reorder the terms: -2.5 + x = 0.00 Solving -2.5 + x = 0.00 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = 0.00 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = 0.00 + 2.5 x = 0.00 + 2.5 Combine like terms: 0.00 + 2.5 = 2.5 x = 2.5 Simplifying x = 2.5

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.5, 2.5}

See similar equations:

| d(d+5)+e(-3+1)= | | x^2+14x+49=40 | | 4(2x-3)=14 | | 20x-15=55 | | x(3x-y)+xy= | | 1.2x^2+7.5x=6x | | 3(22)=x | | 2x*7=25 | | 5.2+x=x-1 | | -4k-5= | | 2z(z+4)+3(z^2-z)= | | 60-2x=40 | | -6x=x-12 | | 9x-2y=14 | | x+x=10 | | 4x+6.9=x+15 | | 5(x)=25 | | 9x-54=4x+16 | | 6+4=26 | | .5+2=7 | | 2x+68=-72 | | 2*(m+5)= | | 10+x=15.1-x | | 12x=-66-6y | | 2k^2-3+12k=k+60 | | x=3(x+-33) | | x=3(x+-33) | | 3(2x-9)-4x=13 | | x^6-1331y^3= | | 3(4+6)=5(8-2) | | 25x^2+36y^2+6y+5x=930 | | 3(4c-1)-6=9c+9 |

Equations solver categories