6x^2+6x-8=0

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


Simplifying
6x2 + 6x + -8 = 0

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

Solving
-8 + 6x + 6x2 = 0

Solving for variable 'x'.

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

Ignore the factor 2.

Subproblem 1

Set the factor '(-4 + 3x + 3x2)' equal to zero and attempt to solve: Simplifying -4 + 3x + 3x2 = 0 Solving -4 + 3x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -1.333333333 + x + x2 = 0 Move the constant term to the right: Add '1.333333333' to each side of the equation. -1.333333333 + x + 1.333333333 + x2 = 0 + 1.333333333 Reorder the terms: -1.333333333 + 1.333333333 + x + x2 = 0 + 1.333333333 Combine like terms: -1.333333333 + 1.333333333 = 0.000000000 0.000000000 + x + x2 = 0 + 1.333333333 x + x2 = 0 + 1.333333333 Combine like terms: 0 + 1.333333333 = 1.333333333 x + x2 = 1.333333333 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = 1.333333333 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = 1.333333333 + 0.25 Combine like terms: 1.333333333 + 0.25 = 1.583333333 1.25 + x2 = 1.583333333 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 1.583333333 Calculate the square root of the right side: 1.258305739 Break this problem into two subproblems by setting (x + 0.5) equal to 1.258305739 and -1.258305739.

Subproblem 1

x + 0.5 = 1.258305739 Simplifying x + 0.5 = 1.258305739 Reorder the terms: 0.5 + x = 1.258305739 Solving 0.5 + x = 1.258305739 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 1.258305739 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 1.258305739 + -0.5 x = 1.258305739 + -0.5 Combine like terms: 1.258305739 + -0.5 = 0.758305739 x = 0.758305739 Simplifying x = 0.758305739

Subproblem 2

x + 0.5 = -1.258305739 Simplifying x + 0.5 = -1.258305739 Reorder the terms: 0.5 + x = -1.258305739 Solving 0.5 + x = -1.258305739 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -1.258305739 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -1.258305739 + -0.5 x = -1.258305739 + -0.5 Combine like terms: -1.258305739 + -0.5 = -1.758305739 x = -1.758305739 Simplifying x = -1.758305739

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.758305739, -1.758305739}

Solution

x = {0.758305739, -1.758305739}

See similar equations:

| -32a^6-28a^5-36a= | | 4p^2-2+9= | | a=.5bc | | 0=x^2-11x-5 | | -x+7=y | | 6(2x-3)=3(4x+4) | | 3p-18=4p-4 | | 5x+8-11x=5x-(3x+16) | | 4x-12=2x+10 | | (2x+28)+2y=60 | | (2x+14)+2y=60 | | 2x+2=.66666667x+9 | | 6t^2+5t=0 | | 2x+2=.67x+9 | | x^4+13x^3+39x^2-13x-40=0 | | 2x+2=.67+9 | | x^3-84x-160=0 | | 17x+9y=-7 | | (2x+2)=15 | | 1.2(1-x)=8.1+3.5x | | 7n+2[2(1-n)-2(1+n)]=14 | | 44=2(x-1.2) | | 4(x-16)=8 | | 3x^2-45x+150=0 | | 5r^2+32r+35=0 | | 7.62=2*3.14*r | | 4x^2+8x+1=0 | | 3y+7=-3y-17 | | 3(x+2)+7(x-1)=12 | | x*x+2x-150=0 | | 8x^2-6=8x | | x(x+2)=89 |

Equations solver categories