(6x^2-3)(7x^2+8)=

Simple and best practice solution for (6x^2-3)(7x^2+8)= 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 (6x^2-3)(7x^2+8)= equation: 


Simplifying
(6x2 + -3)(7x2 + 8) = 0

Reorder the terms:
(-3 + 6x2)(7x2 + 8) = 0

Reorder the terms:
(-3 + 6x2)(8 + 7x2) = 0

Multiply (-3 + 6x2) * (8 + 7x2)
(-3(8 + 7x2) + 6x2 * (8 + 7x2)) = 0
((8 * -3 + 7x2 * -3) + 6x2 * (8 + 7x2)) = 0
((-24 + -21x2) + 6x2 * (8 + 7x2)) = 0
(-24 + -21x2 + (8 * 6x2 + 7x2 * 6x2)) = 0
(-24 + -21x2 + (48x2 + 42x4)) = 0

Combine like terms: -21x2 + 48x2 = 27x2
(-24 + 27x2 + 42x4) = 0

Solving
-24 + 27x2 + 42x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + 9x2 + 14x4) = 0

Factor a trinomial.
3((-8 + -7x2)(1 + -2x2)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-8 + -7x2)' equal to zero and attempt to solve:

Simplifying
-8 + -7x2 = 0

Solving
-8 + -7x2 = 0

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

Add '8' to each side of the equation.
-8 + 8 + -7x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -7x2 = 0 + 8
-7x2 = 0 + 8

Combine like terms: 0 + 8 = 8
-7x2 = 8

Divide each side by '-7'.
x2 = -1.142857143

Simplifying
x2 = -1.142857143

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 '(1 + -2x2)' equal to zero and attempt to solve:

Simplifying
1 + -2x2 = 0

Solving
1 + -2x2 = 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 + -2x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x2 = 0 + -1
-2x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-2x2 = -1

Divide each side by '-2'.
x2 = 0.5

Simplifying
x2 = 0.5

Take the square root of each side:
x = {-0.707106781, 0.707106781}
Solution
x = {-0.707106781, 0.707106781}

See similar equations:

| ln(5x+2)=3 | | 7x+2(x-8)=-2(x+1)+7 | | 6-(2p-4)=4p+3 | | 3(y+1)=-15 | | 8x^4+8x^3=-1 | | -5-16=43 | | 2x+38=48 | | 2(3x-1)+2(x+1)=x+6+3x+5+3x+4 | | 2(b+3)-5=2b-1 | | 261-42.25= | | 6x(4x^2)= | | 3(x-2)+4(x+4)=9(x-2) | | x/7x20x | | 2/3*x-5=9 | | 4(x+3)-2(x-1)=-20 | | 11d= | | 4x^3-9x^2-10x+3=0 | | w/9-1=-10 | | (6x-24)/5+x=-2x | | 7x-7=4(2x+4) | | 8x+3(x-2)=20 | | r^2-2r+4=0 | | -3/x=29 | | x^6-28x^2+27=0 | | 7(b-2)+2(b+4)=12 | | x^2(x+y+1)+2y^2=4x | | 2-5y+3=2y+11-5y | | -37-x=19 | | x^(3/2)=-8 | | x^(3/4)=8 | | 5(a-1)=-2 | | 38-x/11=34 |

Equations solver categories