12x^2-84x+104=0

Simple and best practice solution for 12x^2-84x+104=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^2-84x+104=0 equation:


Simplifying
12x2 + -84x + 104 = 0

Reorder the terms:
104 + -84x + 12x2 = 0

Solving
104 + -84x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(26 + -21x + 3x2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(26 + -21x + 3x2)' equal to zero and attempt to solve: Simplifying 26 + -21x + 3x2 = 0 Solving 26 + -21x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 8.666666667 + -7x + x2 = 0 Move the constant term to the right: Add '-8.666666667' to each side of the equation. 8.666666667 + -7x + -8.666666667 + x2 = 0 + -8.666666667 Reorder the terms: 8.666666667 + -8.666666667 + -7x + x2 = 0 + -8.666666667 Combine like terms: 8.666666667 + -8.666666667 = 0.000000000 0.000000000 + -7x + x2 = 0 + -8.666666667 -7x + x2 = 0 + -8.666666667 Combine like terms: 0 + -8.666666667 = -8.666666667 -7x + x2 = -8.666666667 The x term is -7x. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7x + 12.25 + x2 = -8.666666667 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -8.666666667 + 12.25 Combine like terms: -8.666666667 + 12.25 = 3.583333333 12.25 + -7x + x2 = 3.583333333 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = 3.583333333 Calculate the square root of the right side: 1.892969449 Break this problem into two subproblems by setting (x + -3.5) equal to 1.892969449 and -1.892969449.

Subproblem 1

x + -3.5 = 1.892969449 Simplifying x + -3.5 = 1.892969449 Reorder the terms: -3.5 + x = 1.892969449 Solving -3.5 + x = 1.892969449 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + x = 1.892969449 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + x = 1.892969449 + 3.5 x = 1.892969449 + 3.5 Combine like terms: 1.892969449 + 3.5 = 5.392969449 x = 5.392969449 Simplifying x = 5.392969449

Subproblem 2

x + -3.5 = -1.892969449 Simplifying x + -3.5 = -1.892969449 Reorder the terms: -3.5 + x = -1.892969449 Solving -3.5 + x = -1.892969449 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + x = -1.892969449 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + x = -1.892969449 + 3.5 x = -1.892969449 + 3.5 Combine like terms: -1.892969449 + 3.5 = 1.607030551 x = 1.607030551 Simplifying x = 1.607030551

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.392969449, 1.607030551}

Solution

x = {5.392969449, 1.607030551}

See similar equations:

| 4P=5815-3Q | | 8x-5+5x+6= | | 3z-z+4z=21 | | x^2+34x-495=0 | | x^2+34-495=0 | | x^2+40x-480=0 | | x^2+30x-450=0 | | x^2+36x-432=0 | | (-4x^7y)(x^7y^6)= | | (5x-2)(7x+6)= | | x^2+25x-250=0 | | 7x^2+9x=3x-2 | | 2a+3b=-2 | | -4Y+Y=-3 | | x(x+30)=6175 | | 20-2n=8 | | 4xg+5x-10=35 | | -1=2x^2+x | | 525.00+.21d=585.00+.13d | | log(8-3x)=1+log(4x+5) | | 49x^2+42x+8= | | (7x+2)(7x+4)= | | 25y=150 | | -.0012T^3+.4T+15.25=0 | | 3.25=-.0012T^3+.4T+12 | | 25m^2=3.14*r^2 | | 6g+18=-2g+-62 | | y=(m-1)x+2m-1 | | 305689000000-1500000000x=555000000x+208500000000 | | x=12+0.5y | | 36t^2+12t=0 | | x^2=-9x-14 |

Equations solver categories