-5x^2+3x+2=5x-2

Simple and best practice solution for -5x^2+3x+2=5x-2 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+3x+2=5x-2 equation:


Simplifying
-5x2 + 3x + 2 = 5x + -2

Reorder the terms:
2 + 3x + -5x2 = 5x + -2

Reorder the terms:
2 + 3x + -5x2 = -2 + 5x

Solving
2 + 3x + -5x2 = -2 + 5x

Solving for variable 'x'.

Reorder the terms:
2 + 2 + 3x + -5x + -5x2 = -2 + 5x + 2 + -5x

Combine like terms: 2 + 2 = 4
4 + 3x + -5x + -5x2 = -2 + 5x + 2 + -5x

Combine like terms: 3x + -5x = -2x
4 + -2x + -5x2 = -2 + 5x + 2 + -5x

Reorder the terms:
4 + -2x + -5x2 = -2 + 2 + 5x + -5x

Combine like terms: -2 + 2 = 0
4 + -2x + -5x2 = 0 + 5x + -5x
4 + -2x + -5x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -2x + -5x2 = 0

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

Divide each side by '-5'.
-0.8 + 0.4x + x2 = 0

Move the constant term to the right:

Add '0.8' to each side of the equation.
-0.8 + 0.4x + 0.8 + x2 = 0 + 0.8

Reorder the terms:
-0.8 + 0.8 + 0.4x + x2 = 0 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 0.4x + x2 = 0 + 0.8
0.4x + x2 = 0 + 0.8

Combine like terms: 0 + 0.8 = 0.8
0.4x + x2 = 0.8

The x term is 0.4x.  Take half its coefficient (0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
0.4x + 0.04 + x2 = 0.8 + 0.04

Reorder the terms:
0.04 + 0.4x + x2 = 0.8 + 0.04

Combine like terms: 0.8 + 0.04 = 0.84
0.04 + 0.4x + x2 = 0.84

Factor a perfect square on the left side:
(x + 0.2)(x + 0.2) = 0.84

Calculate the square root of the right side: 0.916515139

Break this problem into two subproblems by setting 
(x + 0.2) equal to 0.916515139 and -0.916515139.

Subproblem 1

x + 0.2 = 0.916515139 Simplifying x + 0.2 = 0.916515139 Reorder the terms: 0.2 + x = 0.916515139 Solving 0.2 + x = 0.916515139 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + x = 0.916515139 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + x = 0.916515139 + -0.2 x = 0.916515139 + -0.2 Combine like terms: 0.916515139 + -0.2 = 0.716515139 x = 0.716515139 Simplifying x = 0.716515139

Subproblem 2

x + 0.2 = -0.916515139 Simplifying x + 0.2 = -0.916515139 Reorder the terms: 0.2 + x = -0.916515139 Solving 0.2 + x = -0.916515139 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + x = -0.916515139 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + x = -0.916515139 + -0.2 x = -0.916515139 + -0.2 Combine like terms: -0.916515139 + -0.2 = -1.116515139 x = -1.116515139 Simplifying x = -1.116515139

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.716515139, -1.116515139}

See similar equations:

| x=0.60/0.90 | | n-21=-8n | | 4h-8=7 | | -11x^0= | | .5555555555555556(8+c)=-20 | | 5x+13+11x-5=180 | | 4p+5=10 | | 5(7c-1)-14=33c+5 | | 96g+80f= | | 4a^2-20ab+24b^2=0 | | 5/6=t/18 | | 6-9z= | | x^4*x^2/x^8 | | 2(x+y)=310 | | y-3=-8y | | 7n^2+37n-28=2 | | x^2+4y^2-4x-32y+32=0 | | 34-5x+2x-4=15 | | (d-3).4=30 | | 18=y-2 | | X^3-6x^2-18x+108=0 | | 2x-15=30-8x | | y/10=15y | | -2h-6=3h-6 | | 5x+y-3z=-17 | | 4+y=12+7 | | X+6=2x+24 | | -x+5=-2x-12 | | 2(n+1)=8n-3 | | 55+5y-24=16y-9-3y | | 6y+2x-10=0 | | 6(12x+3)=72x-5 |

Equations solver categories