3x^2-1=2x+15

Simple and best practice solution for 3x^2-1=2x+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^2-1=2x+15 equation: 


Simplifying
3x2 + -1 = 2x + 15

Reorder the terms:
-1 + 3x2 = 2x + 15

Reorder the terms:
-1 + 3x2 = 15 + 2x

Solving
-1 + 3x2 = 15 + 2x

Solving for variable 'x'.

Reorder the terms:
-1 + -15 + -2x + 3x2 = 15 + 2x + -15 + -2x

Combine like terms: -1 + -15 = -16
-16 + -2x + 3x2 = 15 + 2x + -15 + -2x

Reorder the terms:
-16 + -2x + 3x2 = 15 + -15 + 2x + -2x

Combine like terms: 15 + -15 = 0
-16 + -2x + 3x2 = 0 + 2x + -2x
-16 + -2x + 3x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-16 + -2x + 3x2 = 0

Factor a trinomial.
(-2 + -1x)(8 + -3x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667
Solution
x = {-2, 2.666666667}

See similar equations:

| -4x-8y+10z=0 | | 6-3(2x+5)=8 | | -4x+10y-8z=0 | | -36=5y+y+16 | | 9a-5=7a+5 | | 16-32x-18x+15=18-24x-20x+10 | | 7/2(3x-1)=-8 | | 4x-y-z=0 | | 8a-3=5+a | | 12x-6-26-6x+30=12-4x-2x-2 | | 5.2=7.74x+3.24x-1 | | 2(3x-2)+2(2x+7)=30 | | X+2x-5=3x-x-3 | | 32000=.15x | | 4x-2y+14w+3y-5w=7x | | Y=(7X+1)(2-3X) | | 23=16+w | | 3/5(x-8)=-3 | | 4(x+5)+2(x-1)=60 | | 7sinx-4cosx-3=0 | | 30=18+c | | 6-28+7x=5-4x+6 | | 7x-122=3x-6 | | -3x-10=8-5x | | 5x-64=16-3x | | 2x-15/3=4 | | 60=.5h(10+5) | | -4x-6=7-5x | | 5(w-4)=40 | | -3X-2=6X-7 | | 3x-38=18-5x | | 84=4(5)(3)+2(3)h |

Equations solver categories