(2x^3-2x^2+5x)+(2x^3+9x^2-13x)=

Simple and best practice solution for (2x^3-2x^2+5x)+(2x^3+9x^2-13x)= 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^3-2x^2+5x)+(2x^3+9x^2-13x)= equation:


Simplifying
(2x3 + -2x2 + 5x) + (2x3 + 9x2 + -13x) = 0

Reorder the terms:
(5x + -2x2 + 2x3) + (2x3 + 9x2 + -13x) = 0

Remove parenthesis around (5x + -2x2 + 2x3)
5x + -2x2 + 2x3 + (2x3 + 9x2 + -13x) = 0

Reorder the terms:
5x + -2x2 + 2x3 + (-13x + 9x2 + 2x3) = 0

Remove parenthesis around (-13x + 9x2 + 2x3)
5x + -2x2 + 2x3 + -13x + 9x2 + 2x3 = 0

Reorder the terms:
5x + -13x + -2x2 + 9x2 + 2x3 + 2x3 = 0

Combine like terms: 5x + -13x = -8x
-8x + -2x2 + 9x2 + 2x3 + 2x3 = 0

Combine like terms: -2x2 + 9x2 = 7x2
-8x + 7x2 + 2x3 + 2x3 = 0

Combine like terms: 2x3 + 2x3 = 4x3
-8x + 7x2 + 4x3 = 0

Solving
-8x + 7x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-8 + 7x + 4x2) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-8 + 7x + 4x2)' equal to zero and attempt to solve: Simplifying -8 + 7x + 4x2 = 0 Solving -8 + 7x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -2 + 1.75x + x2 = 0 Move the constant term to the right: Add '2' to each side of the equation. -2 + 1.75x + 2 + x2 = 0 + 2 Reorder the terms: -2 + 2 + 1.75x + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 1.75x + x2 = 0 + 2 1.75x + x2 = 0 + 2 Combine like terms: 0 + 2 = 2 1.75x + x2 = 2 The x term is 1.75x. Take half its coefficient (0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. 1.75x + 0.765625 + x2 = 2 + 0.765625 Reorder the terms: 0.765625 + 1.75x + x2 = 2 + 0.765625 Combine like terms: 2 + 0.765625 = 2.765625 0.765625 + 1.75x + x2 = 2.765625 Factor a perfect square on the left side: (x + 0.875)(x + 0.875) = 2.765625 Calculate the square root of the right side: 1.663016837 Break this problem into two subproblems by setting (x + 0.875) equal to 1.663016837 and -1.663016837.

Subproblem 1

x + 0.875 = 1.663016837 Simplifying x + 0.875 = 1.663016837 Reorder the terms: 0.875 + x = 1.663016837 Solving 0.875 + x = 1.663016837 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.875' to each side of the equation. 0.875 + -0.875 + x = 1.663016837 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + x = 1.663016837 + -0.875 x = 1.663016837 + -0.875 Combine like terms: 1.663016837 + -0.875 = 0.788016837 x = 0.788016837 Simplifying x = 0.788016837

Subproblem 2

x + 0.875 = -1.663016837 Simplifying x + 0.875 = -1.663016837 Reorder the terms: 0.875 + x = -1.663016837 Solving 0.875 + x = -1.663016837 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.875' to each side of the equation. 0.875 + -0.875 + x = -1.663016837 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + x = -1.663016837 + -0.875 x = -1.663016837 + -0.875 Combine like terms: -1.663016837 + -0.875 = -2.538016837 x = -2.538016837 Simplifying x = -2.538016837

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.788016837, -2.538016837}

Solution

x = {0, 0.788016837, -2.538016837}

See similar equations:

| 4x+4x=14x-18 | | 13p-9(3-2p)=3(10p-9)+1 | | -39=-7x+10 | | 2y+22=79-y | | -7x+3(x-4)=28 | | 5-d=(-2) | | (2x+5)(8x-3)=0 | | 210=8-u | | 3b+2=2b+7 | | 3z^3-4z-18=0 | | 17x+14=4x-2 | | 9s+6s-12s= | | 132-x=6x+18 | | 4x-2=17x+14 | | 6(x+3)+x=3(x+5)-2 | | 3y+5m=15 | | 6x+18=6x-12 | | P-3=(-3) | | 6y+18=6x-12 | | 3i(6-3i)= | | 19+12p-17p= | | 5(4y-2)-(4y+3)= | | 13x-139=6x-6 | | 5T-2=4+3T | | (-7+4i)+(7-4i)= | | 3x+1=x+27 | | X^2+9x-10=180 | | 13x-39=6x-6 | | A+(-7)=(-6) | | 2m=-8m+40 | | 2h=0.4 | | -9-(4+3w)=-(2w-1)-5 |

Equations solver categories