3x^4+12x^3-75x^2=0

Simple and best practice solution for 3x^4+12x^3-75x^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 3x^4+12x^3-75x^2=0 equation:


Simplifying
3x4 + 12x3 + -75x2 = 0

Reorder the terms:
-75x2 + 12x3 + 3x4 = 0

Solving
-75x2 + 12x3 + 3x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(-25 + 4x + x2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(-25 + 4x + x2)' equal to zero and attempt to solve: Simplifying -25 + 4x + x2 = 0 Solving -25 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '25' to each side of the equation. -25 + 4x + 25 + x2 = 0 + 25 Reorder the terms: -25 + 25 + 4x + x2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 4x + x2 = 0 + 25 4x + x2 = 0 + 25 Combine like terms: 0 + 25 = 25 4x + x2 = 25 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = 25 + 4 Reorder the terms: 4 + 4x + x2 = 25 + 4 Combine like terms: 25 + 4 = 29 4 + 4x + x2 = 29 Factor a perfect square on the left side: (x + 2)(x + 2) = 29 Calculate the square root of the right side: 5.385164807 Break this problem into two subproblems by setting (x + 2) equal to 5.385164807 and -5.385164807.

Subproblem 1

x + 2 = 5.385164807 Simplifying x + 2 = 5.385164807 Reorder the terms: 2 + x = 5.385164807 Solving 2 + x = 5.385164807 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 5.385164807 + -2 Combine like terms: 2 + -2 = 0 0 + x = 5.385164807 + -2 x = 5.385164807 + -2 Combine like terms: 5.385164807 + -2 = 3.385164807 x = 3.385164807 Simplifying x = 3.385164807

Subproblem 2

x + 2 = -5.385164807 Simplifying x + 2 = -5.385164807 Reorder the terms: 2 + x = -5.385164807 Solving 2 + x = -5.385164807 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = -5.385164807 + -2 Combine like terms: 2 + -2 = 0 0 + x = -5.385164807 + -2 x = -5.385164807 + -2 Combine like terms: -5.385164807 + -2 = -7.385164807 x = -7.385164807 Simplifying x = -7.385164807

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.385164807, -7.385164807}

Solution

x = {0, 3.385164807, -7.385164807}

See similar equations:

| 0.33+0.19=0.44-8m-0.67+9m+0.7 | | 9u^5y^2/3u^3x^5-15u^4 | | v^2-4v-80=0 | | 3+4^3/(4-6) | | X/2=13/2 | | 5n+5m= | | -4x+12=-x+5 | | f(x)=8-X | | Y+10=2y-1 | | 2(5y-1)=10-y | | 5.1+b=7.1 | | -81/56=7/8n-2n | | 55/8-2 | | h(t)=-16t^2+32t+48 | | f(x)=-3x-2 | | w+28.52=-16.03 | | 8x+5=30 | | 2(2+0.5l+w)=40 | | 6-3d=5(3-d) | | 8(3x-4)=12 | | 312.50x=500000 | | 3/4k-28-2/3k=37 | | 5y=-5/4 | | 2(10+-2y)+4y=20 | | -5.4n+5.6n=0.34 | | x=3(5)-2 | | f(x)=-3x | | 312.50=500000 | | (6x-5)=(x+10) | | 7.4x+9.85=35.75 | | 0.02x=18 | | 0.02x=1 |

Equations solver categories