x^2+0.54*x-0.02=0

Simple and best practice solution for x^2+0.54*x-0.02=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 x^2+0.54*x-0.02=0 equation:


Simplifying
x2 + 0.54x + -0.02 = 0

Reorder the terms:
-0.02 + 0.54x + x2 = 0

Solving
-0.02 + 0.54x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '0.02' to each side of the equation.
-0.02 + 0.54x + 0.02 + x2 = 0 + 0.02

Reorder the terms:
-0.02 + 0.02 + 0.54x + x2 = 0 + 0.02

Combine like terms: -0.02 + 0.02 = 0.00
0.00 + 0.54x + x2 = 0 + 0.02
0.54x + x2 = 0 + 0.02

Combine like terms: 0 + 0.02 = 0.02
0.54x + x2 = 0.02

The x term is 0.54x.  Take half its coefficient (0.27).
Square it (0.0729) and add it to both sides.

Add '0.0729' to each side of the equation.
0.54x + 0.0729 + x2 = 0.02 + 0.0729

Reorder the terms:
0.0729 + 0.54x + x2 = 0.02 + 0.0729

Combine like terms: 0.02 + 0.0729 = 0.0929
0.0729 + 0.54x + x2 = 0.0929

Factor a perfect square on the left side:
(x + 0.27)(x + 0.27) = 0.0929

Calculate the square root of the right side: 0.304795013

Break this problem into two subproblems by setting 
(x + 0.27) equal to 0.304795013 and -0.304795013.

Subproblem 1

x + 0.27 = 0.304795013 Simplifying x + 0.27 = 0.304795013 Reorder the terms: 0.27 + x = 0.304795013 Solving 0.27 + x = 0.304795013 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.27' to each side of the equation. 0.27 + -0.27 + x = 0.304795013 + -0.27 Combine like terms: 0.27 + -0.27 = 0.00 0.00 + x = 0.304795013 + -0.27 x = 0.304795013 + -0.27 Combine like terms: 0.304795013 + -0.27 = 0.034795013 x = 0.034795013 Simplifying x = 0.034795013

Subproblem 2

x + 0.27 = -0.304795013 Simplifying x + 0.27 = -0.304795013 Reorder the terms: 0.27 + x = -0.304795013 Solving 0.27 + x = -0.304795013 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.27' to each side of the equation. 0.27 + -0.27 + x = -0.304795013 + -0.27 Combine like terms: 0.27 + -0.27 = 0.00 0.00 + x = -0.304795013 + -0.27 x = -0.304795013 + -0.27 Combine like terms: -0.304795013 + -0.27 = -0.574795013 x = -0.574795013 Simplifying x = -0.574795013

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.034795013, -0.574795013}

See similar equations:

| 5x^2+2x-1=0 | | x^2+0.9*x-0.2=0 | | 2x^2=18 | | 3a^2-5a+2=0 | | x^3-6x^2=0 | | 5g^2+29g-6=0 | | 3d^2-5d-8=0 | | X^2=6 | | 15x^4y^6=0 | | 12x^5y=0 | | x^2-9x+20=0 | | x^2-4x-32=0 | | x^2+2x-3=0 | | x^2-4x-12=0 | | 3x^2-28x=0 | | 45x^3+69x^2-13x-5=0 | | (6a^4b^4+5ab)+(2ab-6a^4b^4)= | | 8x^2+18x-10=0 | | 23x^2-25x=0 | | x^2-5x+5=0 | | 12x+5=-26x^2+x+20 | | 6x^2=x(9x+13)-2(x^2-x+8) | | 0=12a^3-6a^2+18a | | 0=7u^3+14u^2 | | 5=m^3-9 | | H^4+5=9 | | y=(3m+7)*(m^2+4m-9) | | y=(3m+7)*(m^2-4m+9) | | y=(m^3+4m^2-9m)*(3m+7) | | y=(m^3+4m^2-9m)+(3m+7) | | y=(m^2-4m+9)+(3m+7) | | y=(m^2+4m-9)+(3m+7) |

Equations solver categories