3x(2x-5)=6x-15

Simple and best practice solution for 3x(2x-5)=6x-15 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(2x-5)=6x-15 equation:


Simplifying
3x(2x + -5) = 6x + -15

Reorder the terms:
3x(-5 + 2x) = 6x + -15
(-5 * 3x + 2x * 3x) = 6x + -15
(-15x + 6x2) = 6x + -15

Reorder the terms:
-15x + 6x2 = -15 + 6x

Solving
-15x + 6x2 = -15 + 6x

Solving for variable 'x'.

Reorder the terms:
15 + -15x + -6x + 6x2 = -15 + 6x + 15 + -6x

Combine like terms: -15x + -6x = -21x
15 + -21x + 6x2 = -15 + 6x + 15 + -6x

Reorder the terms:
15 + -21x + 6x2 = -15 + 15 + 6x + -6x

Combine like terms: -15 + 15 = 0
15 + -21x + 6x2 = 0 + 6x + -6x
15 + -21x + 6x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
15 + -21x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + -7x + 2x2) = 0

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

Ignore the factor 3.

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1

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

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {1, 2.5}

See similar equations:

| -11x-6x= | | 2x-10+8x=89 | | 8x+4x+3x=90 | | n^2+12=93 | | 6y+5=5y-6 | | (n-13)=16 | | 0.7a=5a | | 3x+4x+3x=90 | | -6z-4=-z+1 | | 2(7)+2y=6 | | -6z-4=-z+7 | | 2g-4=g+6 | | 55=15t+-17 | | 2(6)+2y=6 | | (480-3x/2)(x) | | 2(5)+2y=6 | | 1.6z=16z | | 3x-2y=2x+5 | | 18w=72+9w | | 500=-4.9t^2+1000 | | 9x+3=7x+9 | | -6-3(5n+7)=7(3n-3)+6 | | 6-x+6x=11 | | 40x+3(2x)=644 | | -2.1k+13+6.5=24 | | 10+4(x-3)=14-4x | | -8t-2=8t-18 | | 7(9-5k)= | | 2(x+2)=5x-32 | | 3x-2=a+2 | | 0.08(x-500)-0.15x=2 | | -7x+43=8 |

Equations solver categories