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

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


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

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

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

Multiply (-2 + 3x2) * (4 + x2)
(-2(4 + x2) + 3x2 * (4 + x2)) = 0
((4 * -2 + x2 * -2) + 3x2 * (4 + x2)) = 0
((-8 + -2x2) + 3x2 * (4 + x2)) = 0
(-8 + -2x2 + (4 * 3x2 + x2 * 3x2)) = 0
(-8 + -2x2 + (12x2 + 3x4)) = 0

Combine like terms: -2x2 + 12x2 = 10x2
(-8 + 10x2 + 3x4) = 0

Solving
-8 + 10x2 + 3x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -1x2)(2 + -3x2) = 0


Subproblem 1
Set the factor '(-4 + -1x2)' equal to zero and attempt to solve:

Simplifying
-4 + -1x2 = 0

Solving
-4 + -1x2 = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x2 = 0 + 4
-1x2 = 0 + 4

Combine like terms: 0 + 4 = 4
-1x2 = 4

Divide each side by '-1'.
x2 = -4

Simplifying
x2 = -4

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(2 + -3x2)' equal to zero and attempt to solve:

Simplifying
2 + -3x2 = 0

Solving
2 + -3x2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x2 = 0 + -2
-3x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-3x2 = -2

Divide each side by '-3'.
x2 = 0.6666666667

Simplifying
x2 = 0.6666666667

Take the square root of each side:
x = {-0.816496581, 0.816496581}
Solution
x = {-0.816496581, 0.816496581}

See similar equations:

| 4x^2-24x+37=0 | | 0=2*x+2 | | 75x+10(10-5x)=0 | | x=2*x+2 | | 14.9x+8.57=-124.9 | | 0.05x+0.055(4000-x)=200 | | x^2-5x=42 | | 4x+1=x+5 | | 8+5y=38 | | [x(x-5)]*0.5=42 | | 9x+5y=19 | | x^2-5x-42=0 | | 2.5+2.5=10 | | 54-6x=12x+22 | | 25y^2-39y+14= | | -122-7x=9x+16 | | 2n^2-7n=1 | | 2a^2-3a-20=0 | | 3x^2-5x+7= | | x^3+ax^2-5x+6=0 | | -4(x+1)=-3(x+3) | | 2a^2-5a-12=0 | | 122-4x=5x+23 | | 2a^2-7a-30=0 | | 9x=-18 | | 2(5x+2)=74 | | 18=9y-5y+10 | | c^2-4c-8= | | 3(2x+10)=72 | | x+4.9=1.1 | | -35x-5x=5-9x | | 3c^2+3c+2= |

Equations solver categories