3x^2-5x=10-4x

Simple and best practice solution for 3x^2-5x=10-4x 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^2-5x=10-4x equation: 


Simplifying
3x2 + -5x = 10 + -4x

Reorder the terms:
-5x + 3x2 = 10 + -4x

Solving
-5x + 3x2 = 10 + -4x

Solving for variable 'x'.

Reorder the terms:
-10 + -5x + 4x + 3x2 = 10 + -4x + -10 + 4x

Combine like terms: -5x + 4x = -1x
-10 + -1x + 3x2 = 10 + -4x + -10 + 4x

Reorder the terms:
-10 + -1x + 3x2 = 10 + -10 + -4x + 4x

Combine like terms: 10 + -10 = 0
-10 + -1x + 3x2 = 0 + -4x + 4x
-10 + -1x + 3x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-10 + -1x + 3x2 = 0

Factor a trinomial.
(-5 + -3x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve:

Simplifying
-5 + -3x = 0

Solving
-5 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -3x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = 0 + 5
-3x = 0 + 5

Combine like terms: 0 + 5 = 5
-3x = 5

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-1.666666667, 2}

See similar equations:

| 105=j-23 | | -4+1x+3x+4= | | 6k=234 | | 5x+4+2x=-24 | | 16*16+28*28=c*c | | 4.2X-5.0=6.4 | | -2y+5y+5=14-5y+5y | | 14=2w-6 | | 3/4x-9-27= | | 4x+15=-21 | | (3x+8)(2x+1)=0 | | 56=n+12 | | 38*38+12*12=c*c | | -8+4+(-3)+10x= | | -(3n-1)+2n=4 | | 113.00=6p+2b | | 15+15+25+x+30+40+60+65+90=41 | | 6x^2=x^2+5x | | -x-6=3x+18 | | -2(t+4.7)=9.5 | | tanx=1000/1500 | | 16*16+24*24=c*c | | -1(1-5x)+8=17+2x | | 32*32+28*28=c*c | | f(c)=c^2+11c+24 | | 20x-16=4x+-8 | | 3x+5x-1=5x+2x-3 | | 38*38+24*24=c*c | | -2+24=2x+8 | | F(x)=4x^2+12x | | (2x-3)+(3x+9)= | | 11/36=x/16 |

Equations solver categories