6+6x^2-12x^2+8x=0

Simple and best practice solution for 6+6x^2-12x^2+8x=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 6+6x^2-12x^2+8x=0 equation:


Simplifying
6 + 6x2 + -12x2 + 8x = 0

Reorder the terms:
6 + 8x + 6x2 + -12x2 = 0

Combine like terms: 6x2 + -12x2 = -6x2
6 + 8x + -6x2 = 0

Solving
6 + 8x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 4x + -3x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(3 + 4x + -3x2)' equal to zero and attempt to solve: Simplifying 3 + 4x + -3x2 = 0 Solving 3 + 4x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. -1 + -1.333333333x + x2 = 0 Move the constant term to the right: Add '1' to each side of the equation. -1 + -1.333333333x + 1 + x2 = 0 + 1 Reorder the terms: -1 + 1 + -1.333333333x + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1.333333333x + x2 = 0 + 1 -1.333333333x + x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -1.333333333x + x2 = 1 The x term is -1.333333333x. Take half its coefficient (-0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. -1.333333333x + 0.4444444442 + x2 = 1 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x + x2 = 1 + 0.4444444442 Combine like terms: 1 + 0.4444444442 = 1.4444444442 0.4444444442 + -1.333333333x + x2 = 1.4444444442 Factor a perfect square on the left side: (x + -0.6666666665)(x + -0.6666666665) = 1.4444444442 Calculate the square root of the right side: 1.201850425 Break this problem into two subproblems by setting (x + -0.6666666665) equal to 1.201850425 and -1.201850425.

Subproblem 1

x + -0.6666666665 = 1.201850425 Simplifying x + -0.6666666665 = 1.201850425 Reorder the terms: -0.6666666665 + x = 1.201850425 Solving -0.6666666665 + x = 1.201850425 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6666666665' to each side of the equation. -0.6666666665 + 0.6666666665 + x = 1.201850425 + 0.6666666665 Combine like terms: -0.6666666665 + 0.6666666665 = 0.0000000000 0.0000000000 + x = 1.201850425 + 0.6666666665 x = 1.201850425 + 0.6666666665 Combine like terms: 1.201850425 + 0.6666666665 = 1.8685170915 x = 1.8685170915 Simplifying x = 1.8685170915

Subproblem 2

x + -0.6666666665 = -1.201850425 Simplifying x + -0.6666666665 = -1.201850425 Reorder the terms: -0.6666666665 + x = -1.201850425 Solving -0.6666666665 + x = -1.201850425 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6666666665' to each side of the equation. -0.6666666665 + 0.6666666665 + x = -1.201850425 + 0.6666666665 Combine like terms: -0.6666666665 + 0.6666666665 = 0.0000000000 0.0000000000 + x = -1.201850425 + 0.6666666665 x = -1.201850425 + 0.6666666665 Combine like terms: -1.201850425 + 0.6666666665 = -0.5351837585 x = -0.5351837585 Simplifying x = -0.5351837585

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.8685170915, -0.5351837585}

Solution

x = {1.8685170915, -0.5351837585}

See similar equations:

| x-17=15+3x+18 | | 9s=-7+10 | | K=-8+3k | | -3q=-6q-9 | | 6(-2x+1)=-9x+18 | | 16+8x=450+6x | | 9n+10=8n | | 30x+23=35x+8 | | 5x-16=5(x-4) | | 3c=5c-6 | | P(x)=3x^3-11X^2+75 | | 6x+9=5x | | 2x-3(2-x)=24 | | 3x^3-11x^2+75=0 | | 25=11-7x | | -5(x-3)=-10 | | 2x+3+5x=45 | | x-(2)=6 | | (3a^2-6a+8)+(6a^2-4)+(2a^2-a+12)= | | (3a^2-6a+8)+(6a^2-4)(2a^2-a+12)= | | x-4=26 | | .6x+15=17 | | 6x+y=14 | | 6x-6=4x-10 | | 10(4+x)=200 | | 12.6x-15.8=4.1x-6.4 | | 40.21x+1.65=52.03x | | 432+3252-2342= | | 2/3(9n-6)=4(9+1) | | (6cd^2+4cd)-(3cd^2-9cd+5)= | | 7(-3x+2)=-9x+110 | | 30x+20=20x-30 |

Equations solver categories