3x^2+10=7x

Simple and best practice solution for 3x^2+10=7x 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 3x^2+10=7x equation: 


Simplifying
3x2 + 10 = 7x

Reorder the terms:
10 + 3x2 = 7x

Solving
10 + 3x2 = 7x

Solving for variable 'x'.

Reorder the terms:
10 + -7x + 3x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
10 + -7x + 3x2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
3.333333333 + -2.333333333x + x2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + -2.333333333x + -3.333333333 + x2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + -2.333333333x + x2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + -2.333333333x + x2 = 0 + -3.333333333
-2.333333333x + x2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
-2.333333333x + x2 = -3.333333333

The x term is -2.333333333x.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333x + 1.361111112 + x2 = -3.333333333 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333x + x2 = -3.333333333 + 1.361111112

Combine like terms: -3.333333333 + 1.361111112 = -1.972222221
1.361111112 + -2.333333333x + x2 = -1.972222221

Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = -1.972222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 8*8+6=m | | 3/20c=17/20 | | x^2-8x+50=0 | | 3/x+3=5/2x+6+1/x-2 | | 3w^2+8w-3= | | 1/4(c-7)=1/10(c-4) | | 31/5+1/5x-4/5 | | 3g^2+4g-4= | | 3(2g-1/3)=2(3g-1/2) | | 945=x(20+x)+3x+-30 | | 2s^2+9s+10= | | 5y-4x=24 | | 17y^2-76y-45=0 | | 5y=-60 | | 0,5x-2/3x=7/12 | | x^2=-18x-80 | | 3/x-3=x/x-3+3 | | 9d+d=180 | | x-.6-1=x-1.28 | | 2/3x+16=0 | | 5n^2-24n-5= | | (36x^-2/3)^-1/2 | | 4x-12-1=5x-25 | | 0.5x+.33x+5=x | | 216=36p | | -18x^2-60x-50= | | 1800-100x=504 | | 3x^2=-3x+1 | | 18000-100x=504 | | (x-5)+2=x+3 | | 12x^2+18x+6= | | (25+5x)-4= |

Equations solver categories