(X^2-3x-10)(x^2-25)=0

Simple and best practice solution for (X^2-3x-10)(x^2-25)=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^2-3x-10)(x^2-25)=0 equation: 


Simplifying
(X2 + -3x + -10)(x2 + -25) = 0

Reorder the terms:
(-10 + X2 + -3x)(x2 + -25) = 0

Reorder the terms:
(-10 + X2 + -3x)(-25 + x2) = 0

Multiply (-10 + X2 + -3x) * (-25 + x2)
(-10(-25 + x2) + X2(-25 + x2) + -3x * (-25 + x2)) = 0
((-25 * -10 + x2 * -10) + X2(-25 + x2) + -3x * (-25 + x2)) = 0
((250 + -10x2) + X2(-25 + x2) + -3x * (-25 + x2)) = 0
(250 + -10x2 + (-25 * X2 + x2 * X2) + -3x * (-25 + x2)) = 0
(250 + -10x2 + (-25X2 + x2X2) + -3x * (-25 + x2)) = 0
(250 + -10x2 + -25X2 + x2X2 + (-25 * -3x + x2 * -3x)) = 0
(250 + -10x2 + -25X2 + x2X2 + (75x + -3x3)) = 0

Reorder the terms:
(250 + -25X2 + 75x + -10x2 + x2X2 + -3x3) = 0
(250 + -25X2 + 75x + -10x2 + x2X2 + -3x3) = 0

Solving
250 + -25X2 + 75x + -10x2 + x2X2 + -3x3 = 0

Solving for variable 'X'.

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

Add '-250' to each side of the equation.
250 + -25X2 + 75x + -10x2 + x2X2 + -250 + -3x3 = 0 + -250

Reorder the terms:
250 + -250 + -25X2 + 75x + -10x2 + x2X2 + -3x3 = 0 + -250

Combine like terms: 250 + -250 = 0
0 + -25X2 + 75x + -10x2 + x2X2 + -3x3 = 0 + -250
-25X2 + 75x + -10x2 + x2X2 + -3x3 = 0 + -250

Combine like terms: 0 + -250 = -250
-25X2 + 75x + -10x2 + x2X2 + -3x3 = -250

Add '-75x' to each side of the equation.
-25X2 + 75x + -10x2 + x2X2 + -75x + -3x3 = -250 + -75x

Reorder the terms:
-25X2 + 75x + -75x + -10x2 + x2X2 + -3x3 = -250 + -75x

Combine like terms: 75x + -75x = 0
-25X2 + 0 + -10x2 + x2X2 + -3x3 = -250 + -75x
-25X2 + -10x2 + x2X2 + -3x3 = -250 + -75x

Add '10x2' to each side of the equation.
-25X2 + -10x2 + x2X2 + 10x2 + -3x3 = -250 + -75x + 10x2

Reorder the terms:
-25X2 + -10x2 + 10x2 + x2X2 + -3x3 = -250 + -75x + 10x2

Combine like terms: -10x2 + 10x2 = 0
-25X2 + 0 + x2X2 + -3x3 = -250 + -75x + 10x2
-25X2 + x2X2 + -3x3 = -250 + -75x + 10x2

Add '3x3' to each side of the equation.
-25X2 + x2X2 + -3x3 + 3x3 = -250 + -75x + 10x2 + 3x3

Combine like terms: -3x3 + 3x3 = 0
-25X2 + x2X2 + 0 = -250 + -75x + 10x2 + 3x3
-25X2 + x2X2 = -250 + -75x + 10x2 + 3x3

Reorder the terms:
250 + -25X2 + 75x + -10x2 + x2X2 + -3x3 = -250 + -75x + 10x2 + 3x3 + 250 + 75x + -10x2 + -3x3

Reorder the terms:
250 + -25X2 + 75x + -10x2 + x2X2 + -3x3 = -250 + 250 + -75x + 75x + 10x2 + -10x2 + 3x3 + -3x3

Combine like terms: -250 + 250 = 0
250 + -25X2 + 75x + -10x2 + x2X2 + -3x3 = 0 + -75x + 75x + 10x2 + -10x2 + 3x3 + -3x3
250 + -25X2 + 75x + -10x2 + x2X2 + -3x3 = -75x + 75x + 10x2 + -10x2 + 3x3 + -3x3

Combine like terms: -75x + 75x = 0
250 + -25X2 + 75x + -10x2 + x2X2 + -3x3 = 0 + 10x2 + -10x2 + 3x3 + -3x3
250 + -25X2 + 75x + -10x2 + x2X2 + -3x3 = 10x2 + -10x2 + 3x3 + -3x3

Combine like terms: 10x2 + -10x2 = 0
250 + -25X2 + 75x + -10x2 + x2X2 + -3x3 = 0 + 3x3 + -3x3
250 + -25X2 + 75x + -10x2 + x2X2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
250 + -25X2 + 75x + -10x2 + x2X2 + -3x3 = 0

The solution to this equation could not be determined.

See similar equations:

| 20h=h+266 | | =1/bh | | 64-k=7k | | 5p+10=5 | | 90+b=19b | | =lwh | | √16/27 | | 97=4.9*t^2 | | 9y=-3+1 | | 30=4.9*t^2 | | 12x+3y=90 | | 12t=169-t | | ^3√64x^6/7 | | log(5)4x=2 | | 72=4.9*t^2 | | 4(z-7)-(-2z-5)=5z | | 13=4.9*t^2 | | 3r=44-r | | 9(y+8)=8y-4 | | C/8=10 | | 7=4.9*t^2 | | 20b=b+133 | | 6=(24)/(2a) | | 4(y-1)=3y | | 4*6-5*0=24 | | 18d=d+340 | | 5-9g=5(-4+2g) | | n^2-20n+19=0 | | 5s=15 | | 1/4x-3=3/8x | | 4*-5-5*-2=24 | | -3(x+1)=-2x-4 |

Equations solver categories