4x^2+x-2=

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


Simplifying
4x2 + x + -2 = 0

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

Solving
-2 + x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
-0.5 + 0.25x + x2 = 0

Move the constant term to the right:

Add '0.5' to each side of the equation.
-0.5 + 0.25x + 0.5 + x2 = 0 + 0.5

Reorder the terms:
-0.5 + 0.5 + 0.25x + x2 = 0 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 0.25x + x2 = 0 + 0.5
0.25x + x2 = 0 + 0.5

Combine like terms: 0 + 0.5 = 0.5
0.25x + x2 = 0.5

The x term is x.  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.
0.25x + 0.25 + x2 = 0.5 + 0.25

Reorder the terms:
0.25 + 0.25x + x2 = 0.5 + 0.25

Combine like terms: 0.5 + 0.25 = 0.75
0.25 + 0.25x + x2 = 0.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 0.75

Calculate the square root of the right side: 0.866025404

Break this problem into two subproblems by setting 
(x + 0.5) equal to 0.866025404 and -0.866025404.

Subproblem 1

x + 0.5 = 0.866025404 Simplifying x + 0.5 = 0.866025404 Reorder the terms: 0.5 + x = 0.866025404 Solving 0.5 + x = 0.866025404 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 = 0.866025404 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 0.866025404 + -0.5 x = 0.866025404 + -0.5 Combine like terms: 0.866025404 + -0.5 = 0.366025404 x = 0.366025404 Simplifying x = 0.366025404

Subproblem 2

x + 0.5 = -0.866025404 Simplifying x + 0.5 = -0.866025404 Reorder the terms: 0.5 + x = -0.866025404 Solving 0.5 + x = -0.866025404 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 = -0.866025404 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -0.866025404 + -0.5 x = -0.866025404 + -0.5 Combine like terms: -0.866025404 + -0.5 = -1.366025404 x = -1.366025404 Simplifying x = -1.366025404

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.366025404, -1.366025404}

See similar equations:

| 8x+5(3x-14)=-1 | | q=12-5p | | 2/3(7/8+2x)-3/8=5/8 | | (1/3)-x=(3x/2)-1 | | H+2/5=7/10 | | t=-6(3)+19 | | x/3=6/2 | | 7x^2+4x+84=0 | | 1/3*72 | | -8x+2(-6x+19)=-22 | | x/9=5/3 | | 8+6m-4=6m+22-2m | | 1/3x-x=3x/2-1 | | 0.75x+.05(18-x)=.10(23) | | y+3y+12=28 | | 5x-2x=7x | | y+4y+12=28 | | 2x+1.2=8.9 | | 0.08(24)+0.02x=0.04(24+x) | | -1(4a-3b)= | | 8x+5y=3080 | | 7+ax=17-bx | | y=-3(4)+16 | | 3a+15=2(a-5) | | 18a^3-48a^2b+3a^3b-8ab^2= | | (16y^7/8y^3)^-2 | | -3(x-4)+15=-12 | | 30=5/2y | | 3x+17=-2x+12 | | k/4-3/4=10 | | -x+7(-3x+16)=24 | | 2b-3-b=-2-b+5 |

Equations solver categories