6x^2-56x+64=0

Simple and best practice solution for 6x^2-56x+64=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^2-56x+64=0 equation:


Simplifying
6x2 + -56x + 64 = 0

Reorder the terms:
64 + -56x + 6x2 = 0

Solving
64 + -56x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(32 + -28x + 3x2) = 0

Factor a trinomial.
2((4 + -3x)(8 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333

Subproblem 2

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {1.333333333, 8}

See similar equations:

| 400-15x=1000-40x | | -.2x^2+200x-9500=0 | | 15x+4=110 | | p^2-5p=-6 | | -2(1)-9y=18 | | x=210-x^2 | | -2(0)-9y=18 | | 2+7x-4x=2x+12-2 | | 2x-2x=124 | | 40=3t | | 1500+10x=1000+30x | | (2u+9)(4+u)=0 | | b(2)=170-20 | | 7+2y-4=7y+5-4y | | 3(bc+3)=4(5+2bc) | | 6(x+2)+2x=2(x+6)+4x | | 4(x+2)+2x=2(x+6)+4x | | (7b+6)+(3b-2)= | | 2(x+2)+2x=2(x+6)+4x | | 24x^2-234x-60=0 | | b(2)-20=170 | | 20-b(2)=170 | | 5t+20-14= | | 24x^3+16x+2x= | | 100[0.05(x+9)]= | | 6(x+3)+x=7x+2+1 | | 5(4-3x)+7=17 | | 26+24+23+20+13+13+9+9+6+6=x | | -9x-15=-186 | | P^2-3p+0.4=0 | | 4(5)=x | | 89+a=8916 |

Equations solver categories