(2x^2)-5x-4=0

Simple and best practice solution for (2x^2)-5x-4=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 (2x^2)-5x-4=0 equation:


Simplifying
(2x2) + -5x + -4 = 0

Reorder the terms:
-4 + -5x + (2x2) = 0

Solving
-4 + -5x + (2x2) = 0

Solving for variable 'x'.

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

Divide each side by '2'.
-2 + -2.5x + x2 = 0

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + -2.5x + 2 + x2 = 0 + 2

Reorder the terms:
-2 + 2 + -2.5x + x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -2.5x + x2 = 0 + 2
-2.5x + x2 = 0 + 2

Combine like terms: 0 + 2 = 2
-2.5x + x2 = 2

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = 2 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = 2 + 1.5625

Combine like terms: 2 + 1.5625 = 3.5625
1.5625 + -2.5x + x2 = 3.5625

Factor a perfect square on the left side:
((x) + -1.25)((x) + -1.25) = 3.5625

Calculate the square root of the right side: 1.887458609

Break this problem into two subproblems by setting 
((x) + -1.25) equal to 1.887458609 and -1.887458609.

Subproblem 1

(x) + -1.25 = 1.887458609 Simplifying (x) + -1.25 = 1.887458609 x + -1.25 = 1.887458609 Reorder the terms: -1.25 + x = 1.887458609 Solving -1.25 + x = 1.887458609 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + x = 1.887458609 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + x = 1.887458609 + 1.25 x = 1.887458609 + 1.25 Combine like terms: 1.887458609 + 1.25 = 3.137458609 x = 3.137458609 Simplifying x = 3.137458609

Subproblem 2

(x) + -1.25 = -1.887458609 Simplifying (x) + -1.25 = -1.887458609 x + -1.25 = -1.887458609 Reorder the terms: -1.25 + x = -1.887458609 Solving -1.25 + x = -1.887458609 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + x = -1.887458609 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + x = -1.887458609 + 1.25 x = -1.887458609 + 1.25 Combine like terms: -1.887458609 + 1.25 = -0.637458609 x = -0.637458609 Simplifying x = -0.637458609

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.137458609, -0.637458609}

See similar equations:

| 25=j-2.3 | | 5x^2-5x-4=0 | | 5/x=3/11 | | -0.8=6x+0.4 | | 2p+1/6p=234 | | -(x+8)=4+x | | 1265=230x | | 6s-6=4s+10 | | y+5(q)=6 | | 8+3y=6 | | -12+7(d-1)+14-d=0 | | p+(4/6)p+(1/2)p=234 | | 3x/4+2=4x+7 | | 60=-3(8x-4) | | 2-13d=11d-16 | | 7x-2=89 | | 5+c=4+4 | | -5/9n=-15 | | 1/2(w/1-6/1)=3w+1 | | 3x/4+2=4x+5 | | 1-g+5-2g+3(g-2)=0 | | 2y-14=4y | | 1/2x-4=15 | | 21=5-2.3x-2.7x | | 2x-8=3x-466 | | 15-.2X=.3(x+3) | | 3+3c=12 | | -10r-4=-7-9r | | 12(4a)= | | 8x2+3x-7/8x+3 | | 25=3(2a+1)+5a | | 25=j-7/3 |

Equations solver categories