6x^2=21x-15

Simple and best practice solution for 6x^2=21x-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 6x^2=21x-15 equation:


Simplifying
6x2 = 21x + -15

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

Solving
6x2 = -15 + 21x

Solving for variable 'x'.

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

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

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

Combine like terms: 21x + -21x = 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:

| x^2+4y^2+4xy^2=0 | | x(x+3)(x+9)=400 | | -1x^2-4x-3=0 | | 64xsquared=25 | | 39(x-156)=78 | | 5x+9=23+x | | 5x-2(2x+4)=4x+(x+2) | | 4x+2x+3=21 | | 8x^2-50x-3y-15=0 | | -2sin^2x+sinx+1=0 | | 131/2(6X-4) | | 3x=.5x+5 | | 2m+5=10+3 | | 2/3(x-2)=4 | | 2x=.5x-3 | | 2g^2+11g+9=0 | | 4(2x+3)+8=4 | | 2x-2+45+x=180 | | 1.5(8x+14)-6=-2 | | z=7-11i | | 31s^2+28s=0 | | 5=2x-5+3x | | 21a/11a | | 4v+3v=35 | | 48k^2+29k=0 | | x^2+23x+44=2 | | 9x-9y=-45 | | x+132=180 | | X^2-4xy-77y^2=0 | | 6u^2-5u-6=0 | | -2(5x-1)=42 | | 25x^4-1/4y^2 |

Equations solver categories