2x^4=7x^2+15

Simple and best practice solution for 2x^4=7x^2+15 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 2x^4=7x^2+15 equation: 


Simplifying
2x4 = 7x2 + 15

Reorder the terms:
2x4 = 15 + 7x2

Solving
2x4 = 15 + 7x2

Solving for variable 'x'.

Reorder the terms:
-15 + -7x2 + 2x4 = 15 + 7x2 + -15 + -7x2

Reorder the terms:
-15 + -7x2 + 2x4 = 15 + -15 + 7x2 + -7x2

Combine like terms: 15 + -15 = 0
-15 + -7x2 + 2x4 = 0 + 7x2 + -7x2
-15 + -7x2 + 2x4 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-15 + -7x2 + 2x4 = 0

Factor a trinomial.
(-3 + -2x2)(5 + -1x2) = 0


Subproblem 1
Set the factor '(-3 + -2x2)' equal to zero and attempt to solve:

Simplifying
-3 + -2x2 = 0

Solving
-3 + -2x2 = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2x2 = 0 + 3
-2x2 = 0 + 3

Combine like terms: 0 + 3 = 3
-2x2 = 3

Divide each side by '-2'.
x2 = -1.5

Simplifying
x2 = -1.5

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

Simplifying
5 + -1x2 = 0

Solving
5 + -1x2 = 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 + -1x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x2 = 0 + -5
-1x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1x2 = -5

Divide each side by '-1'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}
Solution
x = {-2.236067978, 2.236067978}

See similar equations:

| (7z^2+8z)-(-3z^2-7z+3)= | | (8x^3+6x^2y^2+6xy^2)+(4x^3y^2-4x^2y^2-4xy^2)= | | (5w^8-8w^4+6w^2+5)+(9w^6+3w^4-7w)= | | 5xy+3y^2-13xy+9y^2-4= | | x^6-6x^5+7x^6-2x^5+4= | | (2x^3+7x)-(-6x^3-6x+9)=t | | -3x^3+9x^2-4x-1= | | x^3-5x^2+x= | | (7af-6a^2f+16af^2)-(11af^2-3af-16a^2f)= | | (2x^3+7x)-(-6x^3-6x+9)= | | (8x^3y^2+5x^2y^2+5xy^2)+(4x^3y^2-3x^2y^2-3xy^2)= | | (8t^8-6t+7t^2+2)+(2t^7+3t^4-5t)= | | (8t-6t+7t^2+2)+(2t^7+3t^4-5t)= | | 11ab+3b^2-4ab+3b^2-10= | | x^5-6x^4+9x^5-4x^4+2= | | 6x^2+3=0 | | 6x^2-3=0 | | 5x^5+4x+14=0 | | 4p^2+68p+168=0 | | 6k^2+84k+270=0 | | 6k^2+84k=270 | | 6a^2+48a-54=0 | | 6x^2-19x=0 | | 6x^2-19+14=0 | | 0=a^2-19a-20 | | m^2-m-12=0 | | m^2-4m+3m-12=0 | | m^2-3m-10=0 | | -5a^2-5a=0 | | Y^2=20y | | y^2+20y=0 | | 2y+6y^2=0 |

Equations solver categories