6x^2-96x+378=0

Simple and best practice solution for 6x^2-96x+378=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^2-96x+378=0 equation:


Simplifying
6x2 + -96x + 378 = 0

Reorder the terms:
378 + -96x + 6x2 = 0

Solving
378 + -96x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(63 + -16x + x2) = 0

Factor a trinomial.
6((7 + -1x)(9 + -1x)) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Subproblem 2

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {7, 9}

See similar equations:

| a+40=a | | -4y-11=5y+16 | | (3x^2-5x)+(x^2+4x+3)= | | 3n=3 | | -2n^3+2n+16=0 | | x-5=10x-8 | | n-3+8=10 | | 9y-6=7y+2 | | 5x+8=19-6x | | 16n^2-8n+1=0 | | 6b-8=3b+19 | | 3x-3y-2=0 | | 10+7x=4+x | | 3x-11y=2 | | 36=3x+4 | | 3c-3=c+1 | | 3x-11y=x-5y | | 0.85x+.05(16-x)=.10(72) | | 15x+18x=6 | | X=5-5y | | 3x+1-2x=x-4+5 | | -2b-5=3b-15 | | (6n^2-5n+1)+(n^2+9n-8)= | | 2x+3=1.5x-.5 | | p+7=2p-9 | | 2x-3=1x+2 | | -5*(-9)= | | 14x-8-x=8x+5x+8 | | 2(3h+5)=16 | | 4x-7x=2x+14x | | 11x-204=4x-8 | | 9x+14=-121 |

Equations solver categories