18x^3-15x^2-6x=

Simple and best practice solution for 18x^3-15x^2-6x= 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 18x^3-15x^2-6x= equation:


Simplifying
18x3 + -15x2 + -6x = 0

Reorder the terms:
-6x + -15x2 + 18x3 = 0

Solving
-6x + -15x2 + 18x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-2 + -5x + 6x2) = 0

Ignore the factor 3.

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 '(-2 + -5x + 6x2)' equal to zero and attempt to solve: Simplifying -2 + -5x + 6x2 = 0 Solving -2 + -5x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -0.3333333333 + -0.8333333333x + x2 = 0 Move the constant term to the right: Add '0.3333333333' to each side of the equation. -0.3333333333 + -0.8333333333x + 0.3333333333 + x2 = 0 + 0.3333333333 Reorder the terms: -0.3333333333 + 0.3333333333 + -0.8333333333x + x2 = 0 + 0.3333333333 Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000 0.0000000000 + -0.8333333333x + x2 = 0 + 0.3333333333 -0.8333333333x + x2 = 0 + 0.3333333333 Combine like terms: 0 + 0.3333333333 = 0.3333333333 -0.8333333333x + x2 = 0.3333333333 The x term is -0.8333333333x. Take half its coefficient (-0.4166666667). Square it (0.1736111111) and add it to both sides. Add '0.1736111111' to each side of the equation. -0.8333333333x + 0.1736111111 + x2 = 0.3333333333 + 0.1736111111 Reorder the terms: 0.1736111111 + -0.8333333333x + x2 = 0.3333333333 + 0.1736111111 Combine like terms: 0.3333333333 + 0.1736111111 = 0.5069444444 0.1736111111 + -0.8333333333x + x2 = 0.5069444444 Factor a perfect square on the left side: (x + -0.4166666667)(x + -0.4166666667) = 0.5069444444 Calculate the square root of the right side: 0.712000312 Break this problem into two subproblems by setting (x + -0.4166666667) equal to 0.712000312 and -0.712000312.

Subproblem 1

x + -0.4166666667 = 0.712000312 Simplifying x + -0.4166666667 = 0.712000312 Reorder the terms: -0.4166666667 + x = 0.712000312 Solving -0.4166666667 + x = 0.712000312 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4166666667' to each side of the equation. -0.4166666667 + 0.4166666667 + x = 0.712000312 + 0.4166666667 Combine like terms: -0.4166666667 + 0.4166666667 = 0.0000000000 0.0000000000 + x = 0.712000312 + 0.4166666667 x = 0.712000312 + 0.4166666667 Combine like terms: 0.712000312 + 0.4166666667 = 1.1286669787 x = 1.1286669787 Simplifying x = 1.1286669787

Subproblem 2

x + -0.4166666667 = -0.712000312 Simplifying x + -0.4166666667 = -0.712000312 Reorder the terms: -0.4166666667 + x = -0.712000312 Solving -0.4166666667 + x = -0.712000312 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4166666667' to each side of the equation. -0.4166666667 + 0.4166666667 + x = -0.712000312 + 0.4166666667 Combine like terms: -0.4166666667 + 0.4166666667 = 0.0000000000 0.0000000000 + x = -0.712000312 + 0.4166666667 x = -0.712000312 + 0.4166666667 Combine like terms: -0.712000312 + 0.4166666667 = -0.2953336453 x = -0.2953336453 Simplifying x = -0.2953336453

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.1286669787, -0.2953336453}

Solution

x = {0, 1.1286669787, -0.2953336453}

See similar equations:

| 82-100= | | -3(2x-1)+(2x-6)=9 | | -3+4+-5= | | 5-a=25 | | 94(2p-1)=45 | | 100-82= | | 120=-6(3b-2) | | X+7=12-7x+3x | | 0.5(20g+3)= | | 2(2x+3)=34 | | 12-(9k-7)+2k= | | 7(4x-2)=36 | | -5c+9=12 | | 5(3+p)+20= | | -(4-x)= | | 7(4x-20)=36 | | -2(2x+8)=-8 | | 120=-2(7m-4) | | 3x^2-9x+7=-3 | | r^2*s^2+4rs-21=0 | | (6-3m)(-3)= | | -3(n+4)=6(1-n) | | 3(2x+3)+4(2x-3)=25 | | q^3-4q= | | x^2-10xy-11y^2= | | 120=-4(5-7r) | | 7-16v-9v= | | 5(x-2)+(3x-2)=10 | | 2x^8+20x^7+42x^6= | | 13=-6x-5+2x+6 | | 4e-4=20 | | 35=12m-1 |

Equations solver categories