(4x^2-2)+3x+1=0

Simple and best practice solution for (4x^2-2)+3x+1=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^2-2)+3x+1=0 equation:


Simplifying
(4x2 + -2) + 3x + 1 = 0

Reorder the terms:
(-2 + 4x2) + 3x + 1 = 0

Remove parenthesis around (-2 + 4x2)
-2 + 4x2 + 3x + 1 = 0

Reorder the terms:
-2 + 1 + 3x + 4x2 = 0

Combine like terms: -2 + 1 = -1
-1 + 3x + 4x2 = 0

Solving
-1 + 3x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x)(1 + -4x) = 0

Subproblem 1

Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1

Subproblem 2

Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25

Solution

x = {-1, 0.25}

See similar equations:

| 1/2y+6=-17 | | (y-5)-(y+5)=2y | | (X/5)(2)=1 | | 2(5c-1)-14=8c+2 | | -10a-3a= | | -8x+25=-7 | | 2t^3-10t^2-48t=0 | | 11h-h-9h=-16 | | 9+8b+6-5=1-b | | 174t+4=8 | | 5n-6=49 | | x+2/3=5/7 | | 8x-(4x-5)=37 | | kn=-4f+9v | | 5-4x=11+2x | | -1-2x=1-3x | | 175.000+550*1x=35000+168000x | | z^3-49z=0 | | 31/2*41/2 | | 5v^2-10v=0 | | -12=2(n+3) | | 2x-14.5=0.5x+50 | | 3n=1-m | | 9-5(4-3)=16m/3 | | 7s+4(3-5)=18 | | y-x=1/3(x+14) | | 1/4(8x+4)-17=-1/2(4x-8) | | -1-3b=-11-5b | | 5x+31=7x+39 | | 4x^2+y^2=1 | | r^4-2r^3+3r^2-2r+1=0 | | -5a^2+31a+28=0 |

Equations solver categories