2x-5=3x(x+3)

Simple and best practice solution for 2x-5=3x(x+3) 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-5=3x(x+3) equation: 


Simplifying
2x + -5 = 3x(x + 3)

Reorder the terms:
-5 + 2x = 3x(x + 3)

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

Solving
-5 + 2x = 9x + 3x2

Solving for variable 'x'.

Combine like terms: 2x + -9x = -7x
-5 + -7x + -3x2 = 9x + 3x2 + -9x + -3x2

Reorder the terms:
-5 + -7x + -3x2 = 9x + -9x + 3x2 + -3x2

Combine like terms: 9x + -9x = 0
-5 + -7x + -3x2 = 0 + 3x2 + -3x2
-5 + -7x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-5 + -7x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(5 + 7x + 3x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(5 + 7x + 3x2)' equal to zero and attempt to solve:

Simplifying
5 + 7x + 3x2 = 0

Solving
5 + 7x + 3x2 = 0

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

Divide each side by '3'.
1.666666667 + 2.333333333x + x2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + 2.333333333x + -1.666666667 + x2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + 2.333333333x + x2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + 2.333333333x + x2 = 0 + -1.666666667
2.333333333x + x2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
2.333333333x + x2 = -1.666666667

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 = -1.666666667 + 1.361111112

Reorder the terms:
1.361111112 + 2.333333333x + x2 = -1.666666667 + 1.361111112

Combine like terms: -1.666666667 + 1.361111112 = -0.305555555
1.361111112 + 2.333333333x + x2 = -0.305555555

Factor a perfect square on the left side:
(x + 1.166666667)(x + 1.166666667) = -0.305555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 7x+10=-60 | | x^2+12x-20= | | 6v=104 | | 4(-4)+25= | | 6=1-5+2n | | X(5x-4)(x+4)=0 | | -7(x+4)-45=8-18 | | -20-y=10 | | 2x+1=-23 | | 56p-8=-16p-32 | | .6=v-2.33 | | (8m-6)(4m+2)= | | 2x-2y=7 | | h/6+h/6=11/6 | | 8x+9x= | | 60+2y=-10 | | -1-2x=-19 | | 7(2x+3)=3 | | 12b-5=3G | | 4y+2x+8=10 | | 10+2y=-10 | | 3z-2+3=-15 | | 6a+2b-11a+4b= | | 4x+25=5x+29 | | 2(2)-2y=7 | | 23x-22x+20=17 | | -5x+20y=20 | | 2m-3= | | -5+20y=20 | | 7x-2=5x+3 | | 8x+1=2x-11 | | 10=b(2*3) |

Equations solver categories