6x^2-21x-18=

Simple and best practice solution for 6x^2-21x-18= 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^2-21x-18= equation:


Simplifying
6x2 + -21x + -18 = 0

Reorder the terms:
-18 + -21x + 6x2 = 0

Solving
-18 + -21x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-6 + -7x + 2x2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-6 + -7x + 2x2)' equal to zero and attempt to solve: Simplifying -6 + -7x + 2x2 = 0 Solving -6 + -7x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -3 + -3.5x + x2 = 0 Move the constant term to the right: Add '3' to each side of the equation. -3 + -3.5x + 3 + x2 = 0 + 3 Reorder the terms: -3 + 3 + -3.5x + x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -3.5x + x2 = 0 + 3 -3.5x + x2 = 0 + 3 Combine like terms: 0 + 3 = 3 -3.5x + x2 = 3 The x term is -3.5x. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5x + 3.0625 + x2 = 3 + 3.0625 Reorder the terms: 3.0625 + -3.5x + x2 = 3 + 3.0625 Combine like terms: 3 + 3.0625 = 6.0625 3.0625 + -3.5x + x2 = 6.0625 Factor a perfect square on the left side: (x + -1.75)(x + -1.75) = 6.0625 Calculate the square root of the right side: 2.46221445 Break this problem into two subproblems by setting (x + -1.75) equal to 2.46221445 and -2.46221445.

Subproblem 1

x + -1.75 = 2.46221445 Simplifying x + -1.75 = 2.46221445 Reorder the terms: -1.75 + x = 2.46221445 Solving -1.75 + x = 2.46221445 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.75' to each side of the equation. -1.75 + 1.75 + x = 2.46221445 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + x = 2.46221445 + 1.75 x = 2.46221445 + 1.75 Combine like terms: 2.46221445 + 1.75 = 4.21221445 x = 4.21221445 Simplifying x = 4.21221445

Subproblem 2

x + -1.75 = -2.46221445 Simplifying x + -1.75 = -2.46221445 Reorder the terms: -1.75 + x = -2.46221445 Solving -1.75 + x = -2.46221445 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.75' to each side of the equation. -1.75 + 1.75 + x = -2.46221445 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + x = -2.46221445 + 1.75 x = -2.46221445 + 1.75 Combine like terms: -2.46221445 + 1.75 = -0.71221445 x = -0.71221445 Simplifying x = -0.71221445

Solution

The solution to the problem is based on the solutions from the subproblems. x = {4.21221445, -0.71221445}

Solution

x = {4.21221445, -0.71221445}

See similar equations:

| 0=(x-2)(x-i)(x+i)(x-1-i)(x+1+i) | | f(x)=(x-2)(x-i)(x+i)(x-1-i)(x+1+i) | | 2.1(6x/3-4.7)=20 | | 192/6 | | 2(-1-3)(-1-3)(-1-3)-5= | | 87/3 | | 8+16p=16p+8 | | (4cos^2(x)-2)(3cos^2(x))=0 | | 1x*20x=0 | | 4x^2+y^2+4y=0 | | -6y+10=6y+26 | | T=2π√(l/9) | | 6S=228 | | -3x/2 | | (z-1)(2z-7)=0 | | 7+12x=163 | | 3xb+2a+1=-4 | | 7+12x=160 | | -5=-7/y-4 | | Fg(0)= | | 5h+25=3h+30.76 | | 17-2a=5 | | 12x+7=144 | | 2k-7k/2=3/4 | | (3z-4)^2/3=(16z)1/3 | | 4x+x-2x+3=23 | | 5-3xa=-4 | | 2*.5+3x=1 | | 12x+7=156 | | 2x+y+z=3x+y | | 8-(-12)= | | -7x^2+2x-6=0 |

Equations solver categories