(x^2-5)(3x^2+4)+20=0

Simple and best practice solution for (x^2-5)(3x^2+4)+20=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 (x^2-5)(3x^2+4)+20=0 equation: 


Simplifying
(x2 + -5)(3x2 + 4) + 20 = 0

Reorder the terms:
(-5 + x2)(3x2 + 4) + 20 = 0

Reorder the terms:
(-5 + x2)(4 + 3x2) + 20 = 0

Multiply (-5 + x2) * (4 + 3x2)
(-5(4 + 3x2) + x2(4 + 3x2)) + 20 = 0
((4 * -5 + 3x2 * -5) + x2(4 + 3x2)) + 20 = 0
((-20 + -15x2) + x2(4 + 3x2)) + 20 = 0
(-20 + -15x2 + (4 * x2 + 3x2 * x2)) + 20 = 0
(-20 + -15x2 + (4x2 + 3x4)) + 20 = 0

Combine like terms: -15x2 + 4x2 = -11x2
(-20 + -11x2 + 3x4) + 20 = 0

Reorder the terms:
-20 + 20 + -11x2 + 3x4 = 0

Combine like terms: -20 + 20 = 0
0 + -11x2 + 3x4 = 0
-11x2 + 3x4 = 0

Solving
-11x2 + 3x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-11 + 3x2) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-11 + 3x2)' equal to zero and attempt to solve:

Simplifying
-11 + 3x2 = 0

Solving
-11 + 3x2 = 0

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

Add '11' to each side of the equation.
-11 + 11 + 3x2 = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 3x2 = 0 + 11
3x2 = 0 + 11

Combine like terms: 0 + 11 = 11
3x2 = 11

Divide each side by '3'.
x2 = 3.666666667

Simplifying
x2 = 3.666666667

Take the square root of each side:
x = {-1.914854216, 1.914854216}
Solution
x = {0, -1.914854216, 1.914854216}

See similar equations:

| (x^2-5)(3x^2+4)=0 | | 2r+2r+5+3(2r+5)=65 | | 2.25x-0.125=3x+3.75 | | x^2+y^2-4x-6y-8=0 | | 20x^2-11x-4= | | 3(w-3)-5w=-11 | | 3(v-3)-8=-2(-8v+1)-v | | (m-1)x^2-2mx^2+1-2m=0 | | 4t^3+2t^2-2t-3=0 | | 3p+4=7 | | 7x-9x/9-2x(x)= | | 2x+1y=6.95 | | 7x+5=3x-4 | | 7x+2=9x-12 | | 4*7x-9x(2)= | | 4*9-2x(x)= | | 9-2x-7x-9x= | | y=-6/5x-7 | | 9-2x+4(x)= | | 10x(x)-4x+1(x)= | | 10x(x)*6x(x)= | | .6x=.5x | | 7y-15=15+5y | | x(x+2)-2(x+2)=x | | 4cos^2(x)=1 | | y=x^2-40*x+51 | | 19(x+11)-7=5x+35 | | y=(4-3x)6 | | x=0.05+0.15x | | 6x+9=-16 | | -2(2+x)-2(x+3)=4 | | 10x(x)*4x+1(x)= |

Equations solver categories