5x^2=5-6x

Simple and best practice solution for 5x^2=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 5x^2=5-6x equation:


Simplifying
5x2 = 5 + -6x

Solving
5x2 = 5 + -6x

Solving for variable 'x'.

Reorder the terms:
-5 + 6x + 5x2 = 5 + -6x + -5 + 6x

Reorder the terms:
-5 + 6x + 5x2 = 5 + -5 + -6x + 6x

Combine like terms: 5 + -5 = 0
-5 + 6x + 5x2 = 0 + -6x + 6x
-5 + 6x + 5x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
-5 + 6x + 5x2 = 0

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

Divide each side by '5'.
-1 + 1.2x + x2 = 0

Move the constant term to the right:

Add '1' to each side of the equation.
-1 + 1.2x + 1 + x2 = 0 + 1

Reorder the terms:
-1 + 1 + 1.2x + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 1.2x + x2 = 0 + 1
1.2x + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
1.2x + x2 = 1

The x term is 1.2x.  Take half its coefficient (0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
1.2x + 0.36 + x2 = 1 + 0.36

Reorder the terms:
0.36 + 1.2x + x2 = 1 + 0.36

Combine like terms: 1 + 0.36 = 1.36
0.36 + 1.2x + x2 = 1.36

Factor a perfect square on the left side:
(x + 0.6)(x + 0.6) = 1.36

Calculate the square root of the right side: 1.166190379

Break this problem into two subproblems by setting 
(x + 0.6) equal to 1.166190379 and -1.166190379.

Subproblem 1

x + 0.6 = 1.166190379 Simplifying x + 0.6 = 1.166190379 Reorder the terms: 0.6 + x = 1.166190379 Solving 0.6 + x = 1.166190379 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + x = 1.166190379 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + x = 1.166190379 + -0.6 x = 1.166190379 + -0.6 Combine like terms: 1.166190379 + -0.6 = 0.566190379 x = 0.566190379 Simplifying x = 0.566190379

Subproblem 2

x + 0.6 = -1.166190379 Simplifying x + 0.6 = -1.166190379 Reorder the terms: 0.6 + x = -1.166190379 Solving 0.6 + x = -1.166190379 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + x = -1.166190379 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + x = -1.166190379 + -0.6 x = -1.166190379 + -0.6 Combine like terms: -1.166190379 + -0.6 = -1.766190379 x = -1.766190379 Simplifying x = -1.766190379

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.566190379, -1.766190379}

See similar equations:

| X+x+0.59+x+0.59+0.02=10.11 | | X*2+X*2+4+X=64 | | 4x+41-6x=3-8x+2 | | 5x+8-2(x+1)=6x+8 | | 16-(2m+5)=5+4m-18 | | 5(7x-6)=26 | | 27=5x-7+6x+6 | | -7/12-(-5/6)= | | 7x^2-2x=8 | | 8x-5=7-2(5-x) | | 97x+98y=1000 | | 1.1y=0.8y | | 6z+2-3z=10+2z+10 | | 27-8x^3=0 | | X*2+X+4+X=64 | | 1.5(c-1)=0.5(4c)+1 | | x^3-2x^2-9x+18= | | 7x^2=6-5x | | 5(1-9x)-3=12+5(22-x) | | 2(3x-4)-7=3x+1+x | | 8x(2x-10)=6(x+2) | | 0.25(d-1)=1.5(4d+3)+1 | | a(-3)+3=15 | | 6p-6= | | -7(1.5y+1)+3y=-21 | | 8(4g-1)-12g=11(2g-6) | | 10(4v-7)=15(6v-2) | | 7p^2-7p= | | 0.06x+0.03(4000-x)=153 | | x=4-9x+3x^2 | | 88-2m=52+4m | | 6x-2=21x+3 |

Equations solver categories