x^2+.65=1.8x

Simple and best practice solution for x^2+.65=1.8x 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+.65=1.8x equation:


Simplifying
x2 + 0.65 = 1.8x

Reorder the terms:
0.65 + x2 = 1.8x

Solving
0.65 + x2 = 1.8x

Solving for variable 'x'.

Reorder the terms:
0.65 + -1.8x + x2 = 1.8x + -1.8x

Combine like terms: 1.8x + -1.8x = 0.0
0.65 + -1.8x + x2 = 0.0

Begin completing the square.

Move the constant term to the right:

Add '-0.65' to each side of the equation.
0.65 + -1.8x + -0.65 + x2 = 0.0 + -0.65

Reorder the terms:
0.65 + -0.65 + -1.8x + x2 = 0.0 + -0.65

Combine like terms: 0.65 + -0.65 = 0.00
0.00 + -1.8x + x2 = 0.0 + -0.65
-1.8x + x2 = 0.0 + -0.65

Combine like terms: 0.0 + -0.65 = -0.65
-1.8x + x2 = -0.65

The x term is -1.8x.  Take half its coefficient (-0.9).
Square it (0.81) and add it to both sides.

Add '0.81' to each side of the equation.
-1.8x + 0.81 + x2 = -0.65 + 0.81

Reorder the terms:
0.81 + -1.8x + x2 = -0.65 + 0.81

Combine like terms: -0.65 + 0.81 = 0.16
0.81 + -1.8x + x2 = 0.16

Factor a perfect square on the left side:
(x + -0.9)(x + -0.9) = 0.16

Calculate the square root of the right side: 0.4

Break this problem into two subproblems by setting 
(x + -0.9) equal to 0.4 and -0.4.

Subproblem 1

x + -0.9 = 0.4 Simplifying x + -0.9 = 0.4 Reorder the terms: -0.9 + x = 0.4 Solving -0.9 + x = 0.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9' to each side of the equation. -0.9 + 0.9 + x = 0.4 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + x = 0.4 + 0.9 x = 0.4 + 0.9 Combine like terms: 0.4 + 0.9 = 1.3 x = 1.3 Simplifying x = 1.3

Subproblem 2

x + -0.9 = -0.4 Simplifying x + -0.9 = -0.4 Reorder the terms: -0.9 + x = -0.4 Solving -0.9 + x = -0.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9' to each side of the equation. -0.9 + 0.9 + x = -0.4 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + x = -0.4 + 0.9 x = -0.4 + 0.9 Combine like terms: -0.4 + 0.9 = 0.5 x = 0.5 Simplifying x = 0.5

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.3, 0.5}

See similar equations:

| 4+2n=-16 | | -4k+5=-31 | | 2d+2=16 | | -4w+6=-6 | | 5t+3=63 | | x^2=-8x-7 | | 6-7d=62 | | 7-4w=-13 | | 2m+9=-13 | | -5+5w=-5 | | 4+2w=24 | | -6-6k=-72 | | -8-3t=-8 | | (x-3)/2=5 | | -9-6k=-15 | | 6m-10=-10 | | 6b+4=-14 | | 8+7m=-27 | | 8+3t=11 | | 7t-5=-75 | | x^2+2.8x-5=0 | | 4a+3=43 | | 1+4b=25 | | 2a+8=-2 | | 4k+9=-35 | | 4+2d=12 | | 6a+10=4 | | -2+2b=-18 | | -3n+10=-17 | | -6a+5=-7 | | 2-5d=47 | | -8-5x=37 |

Equations solver categories