5x^2=2+5x

Simple and best practice solution for 5x^2=2+5x 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 5x^2=2+5x equation:


Simplifying
5x2 = 2 + 5x

Solving
5x2 = 2 + 5x

Solving for variable 'x'.

Reorder the terms:
-2 + -5x + 5x2 = 2 + 5x + -2 + -5x

Reorder the terms:
-2 + -5x + 5x2 = 2 + -2 + 5x + -5x

Combine like terms: 2 + -2 = 0
-2 + -5x + 5x2 = 0 + 5x + -5x
-2 + -5x + 5x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -5x + 5x2 = 0

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

Divide each side by '5'.
-0.4 + -1x + x2 = 0

Move the constant term to the right:

Add '0.4' to each side of the equation.
-0.4 + -1x + 0.4 + x2 = 0 + 0.4

Reorder the terms:
-0.4 + 0.4 + -1x + x2 = 0 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + -1x + x2 = 0 + 0.4
-1x + x2 = 0 + 0.4

Combine like terms: 0 + 0.4 = 0.4
-1x + x2 = 0.4

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = 0.4 + 0.25

Reorder the terms:
0.25 + -1x + x2 = 0.4 + 0.25

Combine like terms: 0.4 + 0.25 = 0.65
0.25 + -1x + x2 = 0.65

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = 0.65

Calculate the square root of the right side: 0.806225775

Break this problem into two subproblems by setting 
(x + -0.5) equal to 0.806225775 and -0.806225775.

Subproblem 1

x + -0.5 = 0.806225775 Simplifying x + -0.5 = 0.806225775 Reorder the terms: -0.5 + x = 0.806225775 Solving -0.5 + x = 0.806225775 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = 0.806225775 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = 0.806225775 + 0.5 x = 0.806225775 + 0.5 Combine like terms: 0.806225775 + 0.5 = 1.306225775 x = 1.306225775 Simplifying x = 1.306225775

Subproblem 2

x + -0.5 = -0.806225775 Simplifying x + -0.5 = -0.806225775 Reorder the terms: -0.5 + x = -0.806225775 Solving -0.5 + x = -0.806225775 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = -0.806225775 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = -0.806225775 + 0.5 x = -0.806225775 + 0.5 Combine like terms: -0.806225775 + 0.5 = -0.306225775 x = -0.306225775 Simplifying x = -0.306225775

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.306225775, -0.306225775}

See similar equations:

| 4x^2-x-0.5=0 | | 0.4(x-2)=4.4 | | 6x^3+12x^2-13x+4= | | 13-7x=28-14x | | x+3x-x/3=33 | | 6x+11=-133-10 | | (-4x^3+6x^2-5x+8)+(10x^3+6x^2-8x-4)= | | 9(x+1)-3x=36+x | | -(1+7x-6-7-x)=36 | | -3(2s-3)-9=-3(4s+6)-3 | | 24/-2 | | 104-4x=10x-20 | | -36/-3 | | x+x+1+x+2+x+3=154 | | -48/8 | | x=8xsquared+240 | | 2X/16=4(9/2) | | 15m+3n+5m+9n= | | -5x-13x=-91 | | (3x+14)/4+(x-14)/5=9/2 | | 7x^2-28x+4Y^2-8y=-2 | | 8x+10=9x-26 | | (3x+14)/4 | | 15x-149=6x-5 | | -9+12x-10-4x=8x-6x+46-(-1) | | x=.6x+1.8 | | 25/175 | | 42/63 | | x^2*x^2-61=192 | | 63/72 | | 2(6-4z)-2(2z+8)=z-8 | | 35/90 |

Equations solver categories