(4x^2+25)*(50-x^2)=0

Simple and best practice solution for (4x^2+25)*(50-x^2)=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 (4x^2+25)*(50-x^2)=0 equation: 


Simplifying
(4x2 + 25)(50 + -1x2) = 0

Reorder the terms:
(25 + 4x2)(50 + -1x2) = 0

Multiply (25 + 4x2) * (50 + -1x2)
(25(50 + -1x2) + 4x2 * (50 + -1x2)) = 0
((50 * 25 + -1x2 * 25) + 4x2 * (50 + -1x2)) = 0
((1250 + -25x2) + 4x2 * (50 + -1x2)) = 0
(1250 + -25x2 + (50 * 4x2 + -1x2 * 4x2)) = 0
(1250 + -25x2 + (200x2 + -4x4)) = 0

Combine like terms: -25x2 + 200x2 = 175x2
(1250 + 175x2 + -4x4) = 0

Solving
1250 + 175x2 + -4x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(50 + -1x2)(25 + 4x2) = 0


Subproblem 1
Set the factor '(50 + -1x2)' equal to zero and attempt to solve:

Simplifying
50 + -1x2 = 0

Solving
50 + -1x2 = 0

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

Add '-50' to each side of the equation.
50 + -50 + -1x2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1x2 = 0 + -50
-1x2 = 0 + -50

Combine like terms: 0 + -50 = -50
-1x2 = -50

Divide each side by '-1'.
x2 = 50

Simplifying
x2 = 50

Take the square root of each side:
x = {-7.071067812, 7.071067812}

Subproblem 2
Set the factor '(25 + 4x2)' equal to zero and attempt to solve:

Simplifying
25 + 4x2 = 0

Solving
25 + 4x2 = 0

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

Add '-25' to each side of the equation.
25 + -25 + 4x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 4x2 = 0 + -25
4x2 = 0 + -25

Combine like terms: 0 + -25 = -25
4x2 = -25

Divide each side by '4'.
x2 = -6.25

Simplifying
x2 = -6.25

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {-7.071067812, 7.071067812}

See similar equations:

| 9z=-27 | | 2(x-1)=10x-13+8x+11 | | 7n+6n=52-26 | | 8(t+2)-3(t-4)-3(t-4)=6(t-7)8 | | -12=6z | | 5x-15=-70 | | 3z+5z=40 | | 4x-3x=-1 | | -5(2x-3y+6)= | | 8x+7y=37 | | 3y=x+7 | | 5x=9x^2 | | 9w-7w+3w= | | x+17=5x-17 | | 9w-7w-3w= | | 4g+4(-3+5g)=1-g | | 8f+14=(-12)-6 | | 5n+5v=s | | z-xy-5x+70=0 | | 1.2/4=x/14 | | 15x^3-9x+24=0 | | 1/5+2=12 | | (x/4)-(x/6)=1 | | 3x+18=3+7x-5 | | 9x=7x+6 | | 8y+4(1+y)=3(y-2)+10y | | 4x^3+20x^2+27x+9=0 | | 8y+4(6+y)=3(y-3)+10y | | 2x-5=15x-95 | | 2x^2+3+4x=0 | | x-2(x+3)=6 | | X*3-4x^2+4x=0 |

Equations solver categories