5x^2=8-4x

Simple and best practice solution for 5x^2=8-4x 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=8-4x equation:


Simplifying
5x2 = 8 + -4x

Solving
5x2 = 8 + -4x

Solving for variable 'x'.

Reorder the terms:
-8 + 4x + 5x2 = 8 + -4x + -8 + 4x

Reorder the terms:
-8 + 4x + 5x2 = 8 + -8 + -4x + 4x

Combine like terms: 8 + -8 = 0
-8 + 4x + 5x2 = 0 + -4x + 4x
-8 + 4x + 5x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-8 + 4x + 5x2 = 0

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

Divide each side by '5'.
-1.6 + 0.8x + x2 = 0

Move the constant term to the right:

Add '1.6' to each side of the equation.
-1.6 + 0.8x + 1.6 + x2 = 0 + 1.6

Reorder the terms:
-1.6 + 1.6 + 0.8x + x2 = 0 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 0.8x + x2 = 0 + 1.6
0.8x + x2 = 0 + 1.6

Combine like terms: 0 + 1.6 = 1.6
0.8x + x2 = 1.6

The x term is 0.8x.  Take half its coefficient (0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
0.8x + 0.16 + x2 = 1.6 + 0.16

Reorder the terms:
0.16 + 0.8x + x2 = 1.6 + 0.16

Combine like terms: 1.6 + 0.16 = 1.76
0.16 + 0.8x + x2 = 1.76

Factor a perfect square on the left side:
(x + 0.4)(x + 0.4) = 1.76

Calculate the square root of the right side: 1.326649916

Break this problem into two subproblems by setting 
(x + 0.4) equal to 1.326649916 and -1.326649916.

Subproblem 1

x + 0.4 = 1.326649916 Simplifying x + 0.4 = 1.326649916 Reorder the terms: 0.4 + x = 1.326649916 Solving 0.4 + x = 1.326649916 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + x = 1.326649916 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + x = 1.326649916 + -0.4 x = 1.326649916 + -0.4 Combine like terms: 1.326649916 + -0.4 = 0.926649916 x = 0.926649916 Simplifying x = 0.926649916

Subproblem 2

x + 0.4 = -1.326649916 Simplifying x + 0.4 = -1.326649916 Reorder the terms: 0.4 + x = -1.326649916 Solving 0.4 + x = -1.326649916 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + x = -1.326649916 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + x = -1.326649916 + -0.4 x = -1.326649916 + -0.4 Combine like terms: -1.326649916 + -0.4 = -1.726649916 x = -1.726649916 Simplifying x = -1.726649916

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.926649916, -1.726649916}

See similar equations:

| 6y+8x=14 | | 5x-37=-147 | | x^2-14x+49= | | 4y=18-10 | | -7x-29=-85 | | x^2=14x | | 2(x+4)-5=17-5x | | 5x-8=9x-12 | | 6k-2=2(k+5) | | x^4+5x^3-27x-135=0 | | 32-4x=x | | 10x-54=96 | | 5-2n=10 | | 11x+3=4(2x+1)-x+6 | | x-6+4x=-3 | | a^2-36= | | 5*a-8=-83 | | (v+8)(v+6)=0 | | 6x^2-11x-24=0 | | 3+2x-6=24 | | 56-3x=8 | | 0+x=-35 | | 11y-8=3(5y+6)-4y | | 3x-10=8x | | 9x+6x-12x=-7+2x-12+5x | | -2(x-3)= | | 8y+28=-76 | | 4+5x=-6x-51 | | N+8=17+6 | | 80-x=35.5 | | 3x-6t=42 | | 99.80-35=.40n |

Equations solver categories