(4x^2-25)(x^2+9)=

Simple and best practice solution for (4x^2-25)(x^2+9)= 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^2-25)(x^2+9)= equation: 


Simplifying
(4x2 + -25)(x2 + 9) = 0

Reorder the terms:
(-25 + 4x2)(x2 + 9) = 0

Reorder the terms:
(-25 + 4x2)(9 + x2) = 0

Multiply (-25 + 4x2) * (9 + x2)
(-25(9 + x2) + 4x2 * (9 + x2)) = 0
((9 * -25 + x2 * -25) + 4x2 * (9 + x2)) = 0
((-225 + -25x2) + 4x2 * (9 + x2)) = 0
(-225 + -25x2 + (9 * 4x2 + x2 * 4x2)) = 0
(-225 + -25x2 + (36x2 + 4x4)) = 0

Combine like terms: -25x2 + 36x2 = 11x2
(-225 + 11x2 + 4x4) = 0

Solving
-225 + 11x2 + 4x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -1x2)(25 + -4x2) = 0

Factor a difference between two squares.
(-9 + -1x2)((5 + 2x)(5 + -2x)) = 0


Subproblem 1
Set the factor '(-9 + -1x2)' equal to zero and attempt to solve:

Simplifying
-9 + -1x2 = 0

Solving
-9 + -1x2 = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x2 = 0 + 9
-1x2 = 0 + 9

Combine like terms: 0 + 9 = 9
-1x2 = 9

Divide each side by '-1'.
x2 = -9

Simplifying
x2 = -9

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 '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 3
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {-2.5, 2.5}

See similar equations:

| .2-.02(x+2)=-.02(2-x) | | 12n^2-17n-5=0 | | (4b^5)(5b+(9b^2))=0 | | 3(x+3)-8=6x-3(-1+x) | | V=26+-2v | | 0=3x^2+8x+4 | | 9-56x=x-3 | | 2v=26+-4v | | 4y=2y+2 | | -6x-3.4=4x+0.2 | | q=80+-10p | | t=20+25d | | 2X+30=X+57 | | q=-10p+80 | | 9=lx+5l | | 8a+6b=60 | | 4x+18=7x+22 | | 4f^2+32f+63=0 | | 3(X-5)=48 | | Y^2+12y+32= | | (X+6)+2=26 | | 16a^2-12+15=0 | | Y=f | | 29-X=4 | | -3x+5=-3(x+2)+11 | | 9-4n+2n=57-98 | | 7x=9+4 | | 6(x+2)+2x-4=8(x-2+8) | | 6x-8+2x-5=7-2c | | 4X-(2X+50)=10 | | Cx+Gy=Rfory | | 3t+-34=14t |

Equations solver categories