3*x^2+4*x=5*(2*x+9)

Simple and best practice solution for 3*x^2+4*x=5*(2*x+9) 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 3*x^2+4*x=5*(2*x+9) equation: 


Simplifying
3x2 + 4x = 5(2x + 9)

Reorder the terms:
4x + 3x2 = 5(2x + 9)

Reorder the terms:
4x + 3x2 = 5(9 + 2x)
4x + 3x2 = (9 * 5 + 2x * 5)
4x + 3x2 = (45 + 10x)

Solving
4x + 3x2 = 45 + 10x

Solving for variable 'x'.

Reorder the terms:
-45 + 4x + -10x + 3x2 = 45 + 10x + -45 + -10x

Combine like terms: 4x + -10x = -6x
-45 + -6x + 3x2 = 45 + 10x + -45 + -10x

Reorder the terms:
-45 + -6x + 3x2 = 45 + -45 + 10x + -10x

Combine like terms: 45 + -45 = 0
-45 + -6x + 3x2 = 0 + 10x + -10x
-45 + -6x + 3x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-45 + -6x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-15 + -2x + x2) = 0

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

Ignore the factor 3.

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

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-3, 5}

See similar equations:

| 9x*x-4x=2x-1 | | -b(4)+6(4)= | | -b+6y= | | 2x+2-2x-3=62 | | 3Y-2(Y+4)=Y+3 | | 20-15m=12-15m | | 4x*x-2x=6(2x-1) | | 0=3.6t^2-134t-750 | | 8y-6=5y+9 | | 3cosineT+0.5=0 | | 4x-15=x+9 | | 3cosT+0.5=0 | | 15xwhat=135 | | (2x+1)(2x+1)=4x*x-1 | | 20x+10xy-5y=2 | | 2/-18=18 | | 5x^2-121=0 | | 2x-ln(x^2)=0 | | 27=g/-32 | | 4x+21=0 | | 2(3x+5)=-2x+42 | | 37x-2x^2=100 | | S+7=-12 | | 6x=2y+10 | | 16x+29=0 | | -a-20=-3 | | -9-20=-3 | | 0=3x^2-20x+16 | | 9+9=-20 | | halfn+7=13 | | 0+m=17 | | 8ab+2a^2b= |

Equations solver categories