12x^3+10x^2-14x=0

Simple and best practice solution for 12x^3+10x^2-14x=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 12x^3+10x^2-14x=0 equation:


Simplifying
12x3 + 10x2 + -14x = 0

Reorder the terms:
-14x + 10x2 + 12x3 = 0

Solving
-14x + 10x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-7 + 5x + 6x2) = 0

Ignore the factor 2.

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 '(-7 + 5x + 6x2)' equal to zero and attempt to solve: Simplifying -7 + 5x + 6x2 = 0 Solving -7 + 5x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -1.166666667 + 0.8333333333x + x2 = 0 Move the constant term to the right: Add '1.166666667' to each side of the equation. -1.166666667 + 0.8333333333x + 1.166666667 + x2 = 0 + 1.166666667 Reorder the terms: -1.166666667 + 1.166666667 + 0.8333333333x + x2 = 0 + 1.166666667 Combine like terms: -1.166666667 + 1.166666667 = 0.000000000 0.000000000 + 0.8333333333x + x2 = 0 + 1.166666667 0.8333333333x + x2 = 0 + 1.166666667 Combine like terms: 0 + 1.166666667 = 1.166666667 0.8333333333x + x2 = 1.166666667 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 = 1.166666667 + 0.1736111111 Reorder the terms: 0.1736111111 + 0.8333333333x + x2 = 1.166666667 + 0.1736111111 Combine like terms: 1.166666667 + 0.1736111111 = 1.3402777781 0.1736111111 + 0.8333333333x + x2 = 1.3402777781 Factor a perfect square on the left side: (x + 0.4166666667)(x + 0.4166666667) = 1.3402777781 Calculate the square root of the right side: 1.157703666 Break this problem into two subproblems by setting (x + 0.4166666667) equal to 1.157703666 and -1.157703666.

Subproblem 1

x + 0.4166666667 = 1.157703666 Simplifying x + 0.4166666667 = 1.157703666 Reorder the terms: 0.4166666667 + x = 1.157703666 Solving 0.4166666667 + x = 1.157703666 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 = 1.157703666 + -0.4166666667 Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000 0.0000000000 + x = 1.157703666 + -0.4166666667 x = 1.157703666 + -0.4166666667 Combine like terms: 1.157703666 + -0.4166666667 = 0.7410369993 x = 0.7410369993 Simplifying x = 0.7410369993

Subproblem 2

x + 0.4166666667 = -1.157703666 Simplifying x + 0.4166666667 = -1.157703666 Reorder the terms: 0.4166666667 + x = -1.157703666 Solving 0.4166666667 + x = -1.157703666 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 = -1.157703666 + -0.4166666667 Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000 0.0000000000 + x = -1.157703666 + -0.4166666667 x = -1.157703666 + -0.4166666667 Combine like terms: -1.157703666 + -0.4166666667 = -1.5743703327 x = -1.5743703327 Simplifying x = -1.5743703327

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.7410369993, -1.5743703327}

Solution

x = {0, 0.7410369993, -1.5743703327}

See similar equations:

| 0.03x-0.04x=1.85 | | 4x^2+25y^2-8x-100=0 | | (x-3)(x-2)=6(x-3) | | 6(n-5)=5n | | K+4= | | 4*2.5+4.4y=1.2 | | 8x+2x=9x-3 | | -38+8v=2(8v-3)+8v | | 10-z= | | x^4-12x^3+11=0 | | y+-7=2 | | 18x^4y^3(-4y^6+2x-3)=0 | | 8+n=-3n | | 903=F+129 | | sec^2x+tanx=1 | | -8-2n=14 | | 2n+3+n=5+n | | 2+17x-9= | | 2x^2+56x-1950=0 | | N+-27=-56 | | 4x+4.4*3=1.2 | | 6a*5a= | | D+90=24 | | 15=f+57 | | 4-5=8 | | 3a-1=-4(-4-5a) | | N+-31=-55 | | 2x-6y=53x+4y=7 | | 3x+10+6x+10=90 | | 9-4m=5 | | 10*-4+4=9*-4 | | s+7=-1 |

Equations solver categories