x*4+2x^2-10=0

Simple and best practice solution for x*4+2x^2-10=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*4+2x^2-10=0 equation:


Simplifying
x * 4 + 2x2 + -10 = 0

Reorder the terms for easier multiplication:
4x + 2x2 + -10 = 0

Reorder the terms:
-10 + 4x + 2x2 = 0

Solving
-10 + 4x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 2x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + 2x + x2)' equal to zero and attempt to solve: Simplifying -5 + 2x + x2 = 0 Solving -5 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '5' to each side of the equation. -5 + 2x + 5 + x2 = 0 + 5 Reorder the terms: -5 + 5 + 2x + x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2x + x2 = 0 + 5 2x + x2 = 0 + 5 Combine like terms: 0 + 5 = 5 2x + x2 = 5 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = 5 + 1 Reorder the terms: 1 + 2x + x2 = 5 + 1 Combine like terms: 5 + 1 = 6 1 + 2x + x2 = 6 Factor a perfect square on the left side: (x + 1)(x + 1) = 6 Calculate the square root of the right side: 2.449489743 Break this problem into two subproblems by setting (x + 1) equal to 2.449489743 and -2.449489743.

Subproblem 1

x + 1 = 2.449489743 Simplifying x + 1 = 2.449489743 Reorder the terms: 1 + x = 2.449489743 Solving 1 + x = 2.449489743 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 2.449489743 + -1 Combine like terms: 1 + -1 = 0 0 + x = 2.449489743 + -1 x = 2.449489743 + -1 Combine like terms: 2.449489743 + -1 = 1.449489743 x = 1.449489743 Simplifying x = 1.449489743

Subproblem 2

x + 1 = -2.449489743 Simplifying x + 1 = -2.449489743 Reorder the terms: 1 + x = -2.449489743 Solving 1 + x = -2.449489743 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = -2.449489743 + -1 Combine like terms: 1 + -1 = 0 0 + x = -2.449489743 + -1 x = -2.449489743 + -1 Combine like terms: -2.449489743 + -1 = -3.449489743 x = -3.449489743 Simplifying x = -3.449489743

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.449489743, -3.449489743}

Solution

x = {1.449489743, -3.449489743}

See similar equations:

| x+-5x= | | 3/4x+1/2=2x+1/4 | | 3x+2/4=2/3 | | 7x+4=7x-6 | | 4z^2+11z+3=6 | | log(2x+3)-log(x+5)=0 | | a(q-8)=23forq | | 8-(-3+9i)-(-7-i)= | | 63=s+69/33 | | 12.4+14=6u-2 | | 12-(n-4)-3n= | | 6x^5-42x^2= | | 36=6n | | 7=3x-(-3) | | 10000y=123.4567 | | 51/2-33/4= | | -7(x+8)-x-2=-8(x+6)-10 | | .5x-1.5=1.6x+1.8 | | 2x+7=5x-(-3) | | |a|=3 | | 30=2t(7+2) | | -17-9j=-26 | | y=-3x+x | | 5x+4x=28 | | .2x-2.4=3.6x+1.4 | | 5(12x)=(x+7)+(x+10)+(6x+9) | | 0=3y+9-7x | | (F)x=(3x^2-5) | | -7(x+7)-x-2=-8(x+5)-11 | | 3x-6x=3x | | f(x+4)=x^2+6x-8 | | 4x^2+68x-440=0 |

Equations solver categories