4x^2+3x-26=0

Simple and best practice solution for 4x^2+3x-26=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 4x^2+3x-26=0 equation: 


Simplifying
4x2 + 3x + -26 = 0

Reorder the terms:
-26 + 3x + 4x2 = 0

Solving
-26 + 3x + 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'.
-6.5 + 0.75x + x2 = 0

Move the constant term to the right:

Add '6.5' to each side of the equation.
-6.5 + 0.75x + 6.5 + x2 = 0 + 6.5

Reorder the terms:
-6.5 + 6.5 + 0.75x + x2 = 0 + 6.5

Combine like terms: -6.5 + 6.5 = 0.0
0.0 + 0.75x + x2 = 0 + 6.5
0.75x + x2 = 0 + 6.5

Combine like terms: 0 + 6.5 = 6.5
0.75x + x2 = 6.5

The x term is 0.75x.  Take half its coefficient (0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
0.75x + 0.140625 + x2 = 6.5 + 0.140625

Reorder the terms:
0.140625 + 0.75x + x2 = 6.5 + 0.140625

Combine like terms: 6.5 + 0.140625 = 6.640625
0.140625 + 0.75x + x2 = 6.640625

Factor a perfect square on the left side:
(x + 0.375)(x + 0.375) = 6.640625

Calculate the square root of the right side: 2.576941016

Break this problem into two subproblems by setting 
(x + 0.375) equal to 2.576941016 and -2.576941016.


Subproblem 1
x + 0.375 = 2.576941016

Simplifying
x + 0.375 = 2.576941016

Reorder the terms:
0.375 + x = 2.576941016

Solving
0.375 + x = 2.576941016

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.375' to each side of the equation.
0.375 + -0.375 + x = 2.576941016 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + x = 2.576941016 + -0.375
x = 2.576941016 + -0.375

Combine like terms: 2.576941016 + -0.375 = 2.201941016
x = 2.201941016

Simplifying
x = 2.201941016


Subproblem 2
x + 0.375 = -2.576941016

Simplifying
x + 0.375 = -2.576941016

Reorder the terms:
0.375 + x = -2.576941016

Solving
0.375 + x = -2.576941016

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.375' to each side of the equation.
0.375 + -0.375 + x = -2.576941016 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + x = -2.576941016 + -0.375
x = -2.576941016 + -0.375

Combine like terms: -2.576941016 + -0.375 = -2.951941016
x = -2.951941016

Simplifying
x = -2.951941016


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.201941016, -2.951941016}

See similar equations:

| 7x-5(x-1)=-7 | | 38-2x=20+7x | | 0=-7x+3y+9 | | 7x+12=32 | | 3x^2+23x-7.7=0 | | -5p-6=-13-4p | | 1-4x=-y | | 13-1/4h=7 | | -5p-6=-13-4 | | 5x+10=32 | | -.6x+1.4x=-.2(x+6) | | 3x+12=-2x+42 | | -.6(r+0.2)=1.8 | | 7x=21+7 | | Y=-2-1/4x | | 14-12+3= | | 6x+-4=-10 | | -6y=-12-3x | | -6p-4=-13-5p | | -8x^2+10x=0 | | 26=13+n | | 50x+80=40x+120 | | 0=-6x-9+3y | | 68=52+w | | 6x+22=12+4 | | 1/2(y-3)=12 | | -x-4y+12=0 | | 5x+5x^2=35 | | 3+2q=2q | | 4/9+4(x-1)=(x-7x)+1 | | 3x=-x-1 | | 74%222=n |

Equations solver categories