2x^2-6x+9=65

Simple and best practice solution for 2x^2-6x+9=65 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 2x^2-6x+9=65 equation:


Simplifying
2x2 + -6x + 9 = 65

Reorder the terms:
9 + -6x + 2x2 = 65

Solving
9 + -6x + 2x2 = 65

Solving for variable 'x'.

Reorder the terms:
9 + -65 + -6x + 2x2 = 65 + -65

Combine like terms: 9 + -65 = -56
-56 + -6x + 2x2 = 65 + -65

Combine like terms: 65 + -65 = 0
-56 + -6x + 2x2 = 0

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

Factor a trinomial.
2((-4 + -1x)(7 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4

Subproblem 2

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

Solution

x = {-4, 7}

See similar equations:

| 0=w^3-2w^2-32-770 | | (-12)=x+7 | | x+ln(27-x^2)-2ln(x)=0 | | 14x-21=0 | | 16-6x=-8 | | 3(x+11)-2(x+2)=2(x-5)+3(x-7) | | 1/3x=-8/3+5/6 | | 11(x-4)=3x-90+7x | | c/4-5=4 | | 3(x+11)-2(x+2)=2(x-5)+2(x-7) | | 6b+4b+2b=144 | | 3x^2-27=2x^3+7x^2-18x-63 | | 3(y-10)=90 | | -3x^2=3x-9 | | 2(6-10N)=10(2N-6) | | 7x+3y=mfory | | y=-16t+236 | | 9(x-3)=3x-61+6x | | 4(5-2x)-1=6(4-x)-3x-5 | | 4(x-9)-3x=3(x-2)-4 | | 4(x+2)=5(x+6) | | F=8/5(n-27) | | 5(x+15)=10 | | 4x^2+16x-7=0 | | 3/5-3.6 | | x/7+3=6 | | 5(4y-6)-6=-6(y-7) | | 3x-16+3x=3+6x-18 | | 3x+41-4x=2-6x+4 | | 30-(x+5)=8x-2 | | x(x+5)=2x+5 | | 15/h+35=95 |

Equations solver categories